Psionics in fiction is effectively what magic is in that particular fiction, and is the nature of the supernatural in that world. Most fictional universes don't have both, or are a kitchen sink universe (Superheroes, Rifts, etc.). Some people want only tele-powers. Many want kinetic powers. Others want all magic to work that way, as they like the fiction of altering reality with their minds.
The way I see it, designers from older TSR/Wizards eras tried to shoehorn psionics in as an option for people who preferred magic that looked like that instead of Vancian magic, but kept them both in the game.
How are those "powers" presented in a TTRPG? If previous D&D editions are any measure, they are packaged abilities that pretty much look like Spells!
This is D&D. D&D isn't "every other universe". I'm fine with Psionics being a different type of magic, as compared to Arcane, Divine, Primal, and other variants. There is no need to reinvent the wheel. I'm fine with them refining what they've presented in the new UA. It's a good list of powers can be justified as psionic.
As a rule of thumb, I don't think they should have "divine/occult-like" powers that obviously come from outside sources, like Hunger of Hadar. And I don't think they should have Animate Dead, that is currently on the list. And even though it is only descriptive, "Devilish Tongue" needs re-named.