My #1 wish as a DS would be to just get rid of the camera rotation whenever you switch riders you follow. Just stay in the same view as before. There is a feature request specifically about this: Maintain camera view switching between riders
A close second is the weird bug where you for some strange reason can’t fan view a particular rider from that rider’s profile in Companion. In practice this means you can’t enter the event at all. Some of the time this seem to resolve with force quitting and restarting Companion, but not always.
Agree that switching between different riders is quite messy at the moment, the positions can change quickly and the nearby riders list is so short that it takes umpteen clicks to move from one end of a peloton to the other (I use an iPad as a second DS screen in part simply because the list is longer and easier to handle…), and if you are unlucky, you end up following a lapped/dropped rider, and if you are really really unlucky, an intersection comes between the groups just when you are watching the wrong group so that it becomes impossible to go back to the peloton other than via a rider profile in Companion.
As for TTT-specific DS functions, maybe first get the event itself sorted out (start, drafting), before dealing with such niceties. (And if you really want to go down that track with timers and everything, why not TTT ERG mode as well while you’re at it? ;p )