Spell points make the game feel too much like a CRPG.
You say that like it's a bad thing.
The UA system is quite well balanced, including for the scaling power levels of spells. It is quite well thought out.
That said, I won't argue that slots aren't easier to design, and don't have a "D&D" feel to them. That's part of the reason I went away from them in my FFd20 system.
Still, the HP analogue stands......I'm sure a 'wound slots' system that governed how you took damage would be easier to design, too, and have an easy controlling force on damage, health, and ability. But as long as health is in points, I think mental endurance, magical capacity, should be, too.
Still, there's really no problem with slots. Points, IMHO, just make more interesting choices between high and low level spells, function better with scaling (and things such as metamagic). And the Arcana Unearthed system is flexible enough to overlap onto a point system with no big deal (though again, it doesn't really NEED to).