@patdude832 Main issue. Is possible shoulder joint/tendon/rotator cuff issues.
These might not shown up right away. But essentially when they do you're sort of fucked. (These problems can br resolved but without drugs it's extremely tedious and most people return to full workload before the problems fixed, reinjuring them and then leading to a condition where they're weakened and continuously reinjure, each time easier than the last.
I fix the once a week problem by hitting them twice a week. Have a day where they're hit with a progressively overloaded OHP so a solid compound movement. And a day where I use a lateral raise machine that's also progressively overloaded. A solid isolation movement. I also do reverse flies and face pulls. But not gonna get into my training program.
If the weights are actually light pump work with slow reps won't hurt. The biggest issue, is it'll be too easy to overestimate what this would actually be if you intend to do it daily, and it could impede your actual shoulder days progressive overload which will carry the significant bulk of your hypertrophy.
I'd personal advice against it. Hit it 3 times a week if you must. 48 hours seems to be consistently stated in the research as optimal recovery time.
Drop sets ARE really good for chasing the pump and hypertrophy. I'm not going to get into the ridiculous argument that people think properly doing chasing the pump is not optimally hypertrophic (the problem is they usually don't understand how to optimally chase the pump when they try to argue this because if they did, theyd realized to maximally chase the pump, and to maximally train for hypertrophy, these two goals have like 85% overlap i.e. are pretty much the same damn thing)
So big points to you for utilizing drop sets. Seriously effective training tool for size that people just seem to have forgotten exist.
My fear is. For optimal recovery and injury prevention you're weights would be too light to provide adequate stimulus. But the correct way would be definitely on the lower side and doing super slow controlled reps that burn like battery acid. And when failure happens or 1 rep away then drop setting and repeating with no rest.
Idea is it needs to be light enough and your technique perfect enough, movement slow enough, that it has 0 impact on your tendons/joint/rotator cuffs. And you can still obtain some stimulus with super slow painfully burning reps.
You need to save all tendon/joint/cuff stimulus for you're actual progressive overload day because again that will be atleast 70% of your primary hypertrophy because of the progressive overload.
I really think you're much better off doing 3 times a week. Every other day essentially. This allows recovery in-between, meaning you can go a little bit heavier for stimulus on non shoulder days, the pump set days which will result in better growth.
More recovery than your initial plan, more stimulus (heavier loads), better than hitting it 1 day a week.
Sorry for sounding redundant. I love the hype about it, you've gotta think longevity and even if you don't feel like it, a daily shoulder set is a high risk long term, and if it's light enough to not increase injury risk it's probably too light to add meaningful stimulus.
You can only go so light and so slow on the reps in a high volume pump type work before its essentially cardio with your delts. My fear here is, you'll largely be in a cardio zone, or you'll gradually be increasing wear and tear faster than your recovering.