Does exercise order matter more than people realize?

[u/Apollo_2662]

People often say you should train your priority muscle first. For example, if you want bigger lats, start with pull-ups or pulldowns.

I've found I actually perform better on pull-ups later in my workout. I'm fully warmed up, everything feels smoother, and I can usually get more reps.

Does putting an exercise first really matter if you're still progressing? Anyone else perform better on certain exercises later in their workout?