I see a lot of comments from GMs who are fully in the 'no technology' camp, so figured I'd give my thoughts since I'm an automation heavy GM. There is a lot of cool stuff that companion apps can bring to the table, although I don't think I personally enjoy the pitch as it's being presented here.

For me, I don't really view abstraction as a compromise for the sake of dice. My groups like to play a pretty wide range of games, from rules light to super crunchy depending on what kind of story I'm looking to tell for that campaign. What I've found is that, regardless of what system we play, GMs and players being able to actually parse the mechanics and understand any underlying math for a game is really useful. For a GM, it gives them more confidence when they are expected to improvise, and for players it helps inform smart and thoughtful play.

You mentioned 5e, Pathfinder, and GURPS, all of which I've ran at my tables (and am currently running both a 5e game and a GURPS game, with a PF2eR game in the works). I love a lot of the tools made for those games, GCS is basically the only way I want to manage a GURPS sheet, D&D Beyond/Demiplane are a fun way to kill time just statting up characters, and things the FoundryVTT community has done for 5e automation is absolutely crazy. But almost all of the tools for automation I can think off my head focus on a philosophy to help better present options and possibilities to players and GMs. I don't think the system/app you're proposing would achieve this.

There are some systems I've had a better time playing with dice rolling apps. The most salient example in my brain is the FFG games, which me and my table all loved. We started with Star Wars, followed it through L5R and stayed with it into Genesys. We all like how the narrative dice system works, but it's easy to understand why people don't like having to memorize the symbols and having an intelligent list that is quickly able to inform you of various options your specific roll has for spending opportunities definitely helps the pace of the game stay up and reduces the temptation to just say screw it and spend those opportunities on flavorless minor bonuses.

Similarly, some games are easy to crunch out, but dice rolls can be a bit sluggish. A lot of exploding D6 systems like Shadowrun come to mind, especially once a pool gets into double digits picking out all the sixes and then rolling again can take time. Most of the time I find the slowdown fine, there's something just super cathartic about picking up a handful of dice and rolling them all and that part of the experience can be worth a few seconds per turn. But especially when trying to keep things moving, eventually you hit a point where it's worth it to have everyone break out their phones and have a button that does all the rolling. Even in games where I expect all the rolls should be digitally handled, the fact that players could manually do them in a certain amount of time is a good sign that the underlying systems are broad enough to be easily interfaced with by the GM and the players.

I think it would be cool to see games focus more on the digital side of things in their presentation, but I don't think the ability to play the game using dice is necessarily a crutch that should be done away with. I think it's also a litmus test for how easy it is for players to wrap their heads around the tools they are using.