I feel like there is a lot going on here, and we need to back up. But to start, I will say, for your goal of losing weight, minimizing fatigue, and generally being healthy, it literally doesn't matter. If you like what you are doing, just keep showing up.
Anyway, I feel like you are mixing up strength training and bodybuilding in a very weird way. My biggest question is simply why you would want to train pure isolated side delt strength. Pavel advocated GtG on big compound lifts, like deads and pull ups, because deadlift and pull up strength translates to real improvements in strength in real life - which is what Pavel primarily cared about. Helping linebackers knock down other linebackers, helping special forces soldiers sprint carring 100lb backpacks, and helping your dad not throw out his back moving a couch. None of this requires isolated side delt work - the side delts help with things like OHP, but they arent the main movers, and there are few movements in real life that mimic a lateral raise.
Meanwhile, Nippard is a bodybuilder, and his priority is making his muscles big so he can win bodybuilding contests. This doesnt mean he isn't strong - but the reason he trains isolated side delt movements isnt to max his deadlift. It is to make his side delts bigger.
Honestly, my biggest thought is that if your goal is general health, fitness, and weight loss, you should just save yourself the time and effort and drop side delt exercises entirely. But then, we could even go a step further and say you could stop going to the gym entirely. For the goal of general health and fitness, you can just play pickup soccer - make friends, have fun, get some fresh air! And stop giving a shit about set and rep schemes for side delts!
But if going to the gym is fun for you and you just like training side delts, then I'd say that you can give it a shot, but I wouldn't expect a sure result. We gain strength in two ways - neuromuscular recruitment, and growth of muscle tissue. Muscle tissue grows when it is pushed close-ish to its physical limit, which is why we usually see more reps used for smaller muscles - with a small muscle like the side delts, 5lbs is a big jump, and doing 2 reps with, say 30lbs might be easy while doing 3 is impossible. But doing reps with 15lbs, we can do 10 or 20 or 30 reps until we find muscular failure. Meanwhile, if you are chasing pure strength, a lot of the gains come from learning alignment of the body, which comes into play less for isolation moves. So hopefully you are also practicing Pavels feed-forward techniques, or else I expect your gains to level off pretty quick.
Not to say you won't see strength or hypertrophy gains with this protocol - just saying that you are n=1 here.