In the later TH games you could enable or disable certain songs from playing during gameplay, and even filter the playlist by genre. This would allow players to fine-tune their experience and remove songs that they personally weren’t so into. You could even decide whether the soundtrack played songs in sequence or at random.
Does this suggestion exist in THPS1/THPS2?
If no: please provide reasoning on why it should exist in the THPS 1+2 game.
No. It wasn’t in the first 2 games, but it was in later games and was a valuable and simple Quality of Life improvement. Especially now that the soundtrack will be considerably bigger than either of the first 2 games individually, being able to filter out certain songs could prove helpful. As has been acknowledged by many, the soundtrack is an essential part of the Pro Skater experience, so this would be a neat way to add an element of customization to that.