Thomas Shey
Legend
The best thing about using a grid (IMO) is everyone can see, knows, and agrees on the exact position of everything (creatures, terrain, etc.). Distances, AoE, etc. can be accurately measured, and so forth.
ToM relies on trusting the DM's "vision" of the scene. Sketches can give you some of the above, but not all of it.
IME as long as everyone agrees on the grid rules, I've never had a problem with it, personally. I think some of the rules in 5E could be improved on, however.
On top of that, TotM at least either requires a system that doesn't focus on position much or a GM and players who have good spatial memory (which certainly doesn't describe me). Sketch maps at least help, though I'm not sure unless you have a scale they're very good at handling non-narrative movement on.