In fairness, the aluminum reflective coating on a telescope mirror is *much* more fragile than modern lens coatings, unless it's overcoated (silicon monoxide still isn't anything like as hard as glass, but it's a good bit better than pure aluminum). That said, the coatings on a lens aren't as hard as the glass, either, and optical glasses are generally some of the softest glasses you'll find.
BTW, if you are considering cleaning your telescope mirror, I'd suggest looking into collodion cleaning. Yes, that's the same collodion (without the halide salts) that you'd use for wet plate photography; it's poured coated onto the mirror surface (ideally, with no run-over onto the edges, to minimize the possibility of it sticking too well), and allowed to dry completely, then carefully peeled off (scotch tape makes a good way to start it, then it'll usually come off in a sheet). It'll take the dirt with it, and won't damage the aluminum.
I've done this using SIG Nitrate Dope (for model airplanes) on the mirror of a cheap Christmas reflector, and it worked (including no detectable damage to the coating); I'm sure it would be better with higher nitrogen content collodion.