I definitely agree with this.
In regards to Type 1, while many characters with Nonexistent Physiology, Incorporeality, etc. would automatically have it, it also applies to those with non-standard physiology such as robots and slimes, for example. Besides, it's not like we can get rid of
Empathic Manipulation or
Memory Manipulation just because it would automatically grant
Mind Manipulation to their users.
As for Type 2, this is clearly shown with the example of Fate's Battle Continuation skill. The ability to continue fighting effectively, disregarding broken bones, shredded muscles and massive blood loss - to continue fighting even when it is
physically impossible to move due to the nature of the sustained injuries, is a clear superpower.
Type 3 is difficult to explain, due to coming mostly from games with Endure mechanics. It could be argued that it could be fused with Type 2, since Fate's Battle Continuation is technically classified as a skill. Regardless, they work effectively the same way: being able to endure fatal wounds and fight effectively despite being at a metaphorical or literal "1 HP".
Definition-wise, I think Types 2 and 3 should be combined into just Type 2.
Type 2 can be the ability to fight effectively in spite of wounds that should make movement extremely difficult if not impossible (i.e. Battle Continuation), while a new Type 3 can be the ability to withstand blows that should by all means one-shot the user (e.g. surviving a blow that deals 999 damage with 1 HP, despite having only 2 HP before getting hit, i.e. Endure mechanics in RPGs).