If I recall correctly you earlier said differently.
The discussion is clearly about do the training methodology or end goal define the label we use.
Arnold is doing strength focused training. SS, then 5/3/1, then he moves on to programs/methods done for PL, like RTS or Sheiko. He tests his maxes once a year and tries to improve them. But he does not do powerlifting meets.
Mike is only interested by his looks. He does various hypertrophy splits and has nice physique. But he never competes in BB, does not practice posing and does not cut his weight under 12-15% BF.
Donald signs up to a bodybuilding comp. But he’s not very smart and trains to to the comp. with Bulgarian method.
Joe signs up to a PL meet, but he’s not smart either. He trains to the meet only with isolation excersises and body part splits and does not even touch barbell.
Alan wants to train holistically. He trains strength with barbells, does some O-lifts, does isolation stuff with hogh intensity and improves his running. He of course periodises a little, but these things are present in his training and goals.
Which is which? Who’s a powerlifter, bodybuilder, weightlifter and who’s not?
This is why I like to separate strength and hypertrophy -training from being a PL or BB. It has less hazy boundaries.
You can of course say that you need to ”bodybuild” your upper body for bigger 1RM bench, but you’re not bodybuilder then. Like improving your rep strength in squats won’t turn a bodybuilder to a powerlifter, even if they both do it in their training.
And the division is not so rigid. Most people still do a mix of strength and hypertrophy training even if they’re powerlifters, weightlifters,strongman or just dudes who want to be bigger and stronger.