In the dictionary
roller skate [count] : a shoe that has wheels on the bottom and that you wear in order to skate on a flat surface — usually plural
a pair of roller skates
(also Heely™ especially in British English, North American English roller shoe) a sports shoe that has one or more wheels underneath it
Learn to roll on your skate shoes.
Youngsters were gliding by on their skate shoes.
skate 2 [countable] one of a pair of boots or frames with small wheels on the bottom, for moving quickly on flat smooth surfaces SYN roller skate
But when I google "skate shoe", it does not show the shoes that I expected.
But when I google "skating shoe", it does show the shoes that I expected.
See the picture:
Do we call it "roller skate" or "roller shoe" or "skate shoe" or "skating shoe" or "roller skate"? Which one is the most common?