Pappy, interesting, your way of doing China Cat. Mine is similar. For solo acoustic guitar, living room stuff, Garcia low notes to usher it in, followed by Bobby riff, but the Bobby riff stops when the lyrics come in and then it is all Jerry, all the way to the Bobby transition segment leading into I Know You Rider. (There, Jerry lays back on the chords, letting it run out to see what the backdrop can provide, and then he starts in after Bobby's final "chords.")
But for playing both of their stuff, I used to play only Bobby stuff, with an occasional lead. My rhythm was more full bodied than the other guitarist; it just filled the void, almost difficult to hear, but take it away and the high wire act would fall. What was cool about playing Bobby's stuff was that in trying to emulate his style you push yourself toward playing that style, and before you know it, if you don't do it exactly the same way, you at least get a very similar result. After a few years you think the same way, too, which is a fringe benefit that will last you a lifetime. Your rhythm will always have a heightened aspect. Rhythms within rhythms.
Bobby's stuff is harder to learn than Jerry's. You need to get into his head. He's already playing rhythm the way he does, natuarally, so in trying to mimic that style of play you have to get up to speed somehow, to be on his level, to then study what he may be doing. But chords alone have little context to support them and your attention drifts away when trying to learn chords and chord rhythms. With Garcia right there in the learning mix it is a wonder that anyone gets good at playing the way that Weir does.
Jerry is my focus these days. I'm working on Cumberland Blues which is extremely fast paced. Jerry amazes me in where he is coming from. When he takes the reigns of the song, he doesn't just begin playing the lead, he launches into playing the lead. By throwing himself into the leads they immediately ratchet up to an autoresponse hearing/picking technique as he unconsciously mental counts the central beats of the measures. To do that you have to have complete confidence in your playing and really understand what you're doing, which Garcia had for Cumberland Blues. I'm more and more convinced that it must have been his banjo playing that taught him autoresponse things to allow him to master his lead techniques of this song because the lead riffs have a banjo-like quality to them.
The hard part of learning Jerry's style involves believing that you can play masterly like him. The slightest doubt on your part and your playing falls completely off the chart, reduced to playing a melody, but lacking sparkle. But if you are in a learning session, you're listening to slowed down playbacks of his stuff, then trying it yourself, and repeating this process over and over, eventually you can actually play small segments with the same authority, even though slowed down. My hope is that exposure to this "feeling of authority," that of complete command of the obstacles in front of me, that this feeling will wear off on me and my playing will improve a slight amount with each session. Then, cumulatively, over time, a noticeable improvement will come about and when it all clicks finally, then I'll be able to speed up to whatever speed I can and I'll still be comfortable. Seems to be working fairly well so far.
Which do I do better? Probably Jerry. I'm a student of Jerry Garcia these days. Several lifetimes of material out there from Jerry to study.