I think that if I were in the middle of fighting a war in which the constraining factor is most-likely to be munitions, I probably wouldn't be expending what of the limited supply of long-range precision strike munitions I do have available on monuments and museums.
I'm gonna give pretty good odds that, elements of cultural identity or no, dropping a bomb on a monument isn't going to cause the Ukrainian public to go "well, that's it, guess I must be Russian". Maybe it's possible to erase an identity, but it isn't gonna happen with cruise missiles.