I think it depends a lot on the individuals.
A test I like a lot is to take a few exercises (works best for single joint exercises), and measure your 1 rep max. Don't use calculators that would defeat the purpose.
Once you have measured your 1 RM, wait at least 5 min (or do it on another day), take 80% of the weight and do as many reps as possible to failure.
Some people can only do like 4 reps with that weight while some rare exception do more than 20 reps. Average is around 8. And most 1RM calculators are based on this. There is speculation that people that do low reps have more FT muscle while people that do higher reps have more ST muscle. Also from what I have seen and read, this number does not change regardless of how you train and how much you train. But you might get slightly different numbers on different exercises.
Anyways the idea is that whatever number you get, you stick to that +/- 1 or 2 reps, but use a load large enough to stimulate gains. Obviously someone that can only do 4-5 reps with 80% 1 RM will need to use ridiculously light weights to do high reps. Not productive.
On the other hand someone that can do 15+ reps with 80% 1RM would probably do well with high reps since he can handle more weight at higher reps.
Now this part is very speculative, but is based on my experience. If you fall in the low rep end of the spectrum, high volume may not be for you. These individuals will tend to fatigue very fast, so lot of sets might not be beneficial. And if multiple sets are used, still stick to low reps. On the other end people with high endurance, might do better with more volume.
In my case, when I did the test for military presses. I found out that my 1RM was 20 pounds higher than what was estimated by the 1 RM calculator. But I was only able to do 5 reps with 80% of that weight. So the calculator was totally off in this case.
So I increased the load and lowered the reps from 8-10 to 4-6 and I have been increasing in shoulder size and strength ever since. It's been 2 months since I made the changes and I have not reached a plateau yet, which is another positive.
So I think the load is more important than the # reps. Make sure you work at a high enough % of your max and adjust from there.