To me the comparison is very accurate. On both occasions there were mostly peaceful protests and some opportunist. The fact that you call one a protest and another a riot is quite telling of your bias.
The key observation is that the NY protests had two discrete groups: protestors, and opportunists.
There was no such distinction during J6: the opportunists who did storm the Capitol and menace our legislative branch started as protestors, and promoted themselves to riotous behavior when the opportunity presented itself.
There was no such distinction during J6: the opportunists who did storm the Capitol and menace our legislative branch started as protestors, and promoted themselves to riotous behavior when the opportunity presented itself.