I would really want this to work with multiple exercises - like rotate through a circuit of 5 exercises as an EMOM, or rotate through the exercises with custom times for the exercise and a rest period between. Such as, maybe two floor exercises are a minute each and the third is 30 sec and the third requires getting on a bike. I can switch between the floor exercises in 5 seconds or less but getting to the bike and off of it again takes 15 seconds. I realize this is pretty nuanced but would be perfect for something like a mobility warmup routine that I'll do mostly the same 3x a week for years.

If it's not already obvious it would be necessary to proceed from one exercise to the next. Just like regular trainingpeaks workouts when intervals auto-start some times or you can make them start/end by pressing the lap button... something parallel would be mandatory.

these is very important parameters to manage our work as strength coaches

When doing the strength training in mobile app. It could be great to show number of set or/and a check mark on each set.
For time base exercises, could be great to have an integrated timer.

A timer in the strength functionality

So athletes can tack time of workout and rest?