My train of thought is this. So we have a limited number (10) motors to do the task. The whole challenge in vex is what you do with these. The trick is to allocate the motors in the most effective way. I think we all agree on this. My goal is the get the best performance with what we are given. My highest priority therefore is to score as fast as possible and in the most efficient manner.
You are correct I do not want to reveal exactly what we are doing. This is only natural as i would like to be as competitive as possible and let others think for themselves. I am however glad to help and point people in the right direction, so back to the point.
So i have allocated 2 motors for the scoring mechanism, not including the lift. Thus the challenge of having 2 mechanisms with 2 motors. Yes the intake in the video is a good unified solution. It is simple and i therefore appreciate its design. Similar strategies worked well in gateway where there was only one object and people have modified them to work with both. This is a fine strategy that there is noting wrong with. Building on what has been done before is a sure strategy to do something new and still know that it will work. I know this will work well for some. But i want to take it to the next level. Imagine being able to place 3 buckeyballs in the stash and then proceeding to cap it without having to go somewhere else and pick up the big ball. This would eliminate the time it would have taken to move to pickup the big ball. This aligns well with my goal of being as efficient as possible. There may be a way to make this work with a intake like shown in the video, but more control would need to be added to allow for this to work in the manner stated above.
My solution to this problem is to separate the 2 and go with 2 separate scoring mechanisms. This also allows for the scoring mechanisms to be specifically tailored to each object. To me this is also better because then i don’t have to make compromises. To me this is easier because it is like avoiding the can opener with the bottle opener on the other end that makes both hard to use. Instead i want to have 2 discrete tools that are easier and faster to uses as well as being more sturdy. Im not saying that there is no good option or no compromise that is worth it or that there is no combined option that will works well. I am just saying that it makes sense to me to have separate intakes. It also streamlines the design process. Breaking the big challenge down into 2 smaller challenges makes it easier to concur.
This presents the challenge of powering 2 mechanisms with only 2 motors. This is where people need to weight their options and make a decision. THis is where the design in the video has chosen a good option use the 2 motors to do both at the same time. The problem with this is that they lost some functionality in doing this. This is a compromise and the pros and cons must be carefully weighed. I believe that there is a better option. That is why i am saying have 2. There are lots of thing that could enable this: pneumatics, passive intakes, or something that uses gravity ect. Using these other methods brings in a whole new list of challenges, but it is something to consider.
This is where i don’t want to share more until later possibly. There are many ways to do it. Having a unified intake can defiantly work. The most fun that i have in vex and what makes it challenging and fun is taking the information that you have and making a decision and then dealing with the consequences and than being able to change/ modify that decision an see what works better.
i apologies if my previous post came off as accusatory or anything. I am just trying to be very clear and comprehensive.
I see where a unified intake is elegant and simple and thats fine. I just feel like there are better options. Im sorry if my previous post was not clear. I was not referring to anything specific. I was just suggesting that there were many options to consider within the vex ecosystem. This includes pneumatics as well as transmissions. I didn’t want to say anything to specific as to say that other things wont work well. I was just trying to convey that there are lots of choices. Yes my post was slightly closed and i don’t want to say what we are doing exactly.
Also in my designs i try to minimize the maintenance and minimize the chance of failure. Rubber bands in a key system is not something that i want to have to rely on. They ware out and sometimes break. They need to be replaced and they perform differently depending on how long they have been used.
I do see the appeal of a unified system and it think that it is a good solution, but it is not for me. I do believe that a system with spinning rollers on hinges (allowing them to tilt to accommodate bigger objects) tensioned with elastic could work and be made sturdy. But once again, this brings up all the problems with rubber bands and elastic that i said above. My main point is not to discount either option when designing and to think about all of you options including single and dual intake systems using all the available parts (motors, pneumatic, rollers, treads, as well as elastic and rubber Bands), but make sure to carefully weigh the pros and cons of all of them.
also follow the advice in your signature and take advantage of every movement of the other systems. Thats the only hint i’m going to give you as to what we are doing. 
Good luck, Don’t get stuck with one idea, and chose wisely.
~Andrew