Yes, they are very recognizable and the mushrooms in your photo are almost certainly K. mutabilis.

However, Galerina marginata can look very similar under certain circumstances, which is why harvesting and consuming K. mutabilis is best left to experts. These species have been known to grow on the same substrate right next to each other which is why you should ID each mushroom individually.

Personally, I think can tell the difference quite confidently and I still don’t harvest K. mutabilis. (I’m still waiting to find G. marginata a few more times and get to know them better.)