As a lay boardgamer, what makes a board game abstract?
'Abstract' is somewhere on the chess side of the spectrum between Go and moving miniature battle tanks around and flipping to page 237 of Appendix E to look up how much water the average Italian soldier needed to boil his pasta in the Tobruk campaign.
There are also games with themes that don’t really help make sense of the rules — the theme is just pasted on. These are still considered abstract, despite technically having a theme.
The “ameritrash” genre are known for having strong themes that tie to the rules of the game. E.g. a lot of co-op games with plastic figures.
Old school euro games often have a pasted on theme, and are more abstract.
If you have to read things, roll things, or hide things, it's not an abstract.
(This fails to include backgammon and Parcheesi when maybe it should, and includes Zark City when somehow I feel it shouldn't, but it's not a bad starting point.)
Additionally: No dexterity (which is kind of a special case of "no chance").
i've always been curious about the gameplay, but have absolutely no interest in reading past words like "wizard", "mage", or "eldritch", and i won't look at anything where i have to see or imagine that somebody is wearing a cape, or even play with gamers who are willing to imagine they are wearing capes in other games.
If you're asking if there's a version of D&D that's pure math and no roleplay, the closest thing I can imagine would be Dragon Dice, or something with the mechanics of a very basic roguelike. The math in D&D itself such as in combat is affected by your character's stats and the encounters created by the DM, so the mechanics and the role playing are kind of tied together.
Now, the genre itself, all the storytelling involved, can easily be adapted to more serious, or even abstract, thinking.
In fact, it was, and there are plenty of alternative rpg universes. But, similar to how serious non-marvel movies are a niche, serious rpgs are also less popular.
Just to make it clear (and perhaps to state the obvious), you are not believing in these when you play these games or read these books, you are voluntarily suspending disbelief.
Power? Not necessarily. Numerous rpgs have nothing to do with power. Be a Cat has nothing to do with power, and everything with escapism (and cats).
I mean, there is nothing wrong with power and fantasies. Or powerless fantasies, as in horror stories, or whatever.
I am also past the age of wanting to believe in magic. And also past the age of having time for long plays. Most of my friends are busy doing serious adult stuff.
So outside of baroque dnd-like systems, my personal favourite right now is a subgenre called journalling solo RPG, which are often minimalist, but covering all kinds of themes and topics.
If that's all you want, there are loads of combat games with miniatures. I've never played Warhammer, but that's obviously the biggest one; I've enjoyed the Star Wars X-wing combat game as well.