My impression from playing against lower levels of the default stockfish on Lichess is that it's really bad at playing badly, so not much fun to play against.
It seems like it plays at full power, interspersed with random bad moves.
Absolutely. You might want to take a look at Maia Chess, an engine which is supposed to mimic low/mid-level human play, rather than just playing perfectly and with a 1/10 chance of a terrible move, like Stockfish at low levels does.