Whenever I buy fittings etc that come with their own screws I automatically throw them away.
If I’m going straight into wood I use Reisser Cutter or Spax screws which have their own countersink cutter under the head. If I’m fitting a metal plate like a hinge I don’t use the self-countersinking ones. Maybe Quicksilver, but some of those have just been “upgraded” to self countersink, so now useless for me.
When joining boards together to make cabinets I use Kreg Pocket Hole screws, but that’s a completely different subject. They have square drive heads.
I agree that Philips was designed to cam out. Pozi is designed not to.