It is clearly not true.
There are a lot of bad CC players that are weaker than chess engines(assuming you give the engines some hours per move on normal hardware)
Let divide them to different types(players can be in more than one type and players may be both type 2 and type 3 and type 4 and type 5.
tyoe 0 CC players do not use engines and use only their own brain.
typel 1 CC players use engines only to verify that their move is not a significant tactical mistake.
type 2 CC players use old engines that are not the top engines to play the move and do not know that stockfish and lc0 are the best engines
type 3 CC players use chess engines but not for a lot of time and their move may be result of 1 minute analysis by the engine instead of giving the engine many hours to analyze
type 4 CC players play too many games so they practically cannot give their machine a lot of time.
type 5 CC players are not careful and sometimes make clerical errors in their games(for example playing Ned7 instead of Nfd7).
type 6 CC players trust book moves not from a good book without engine analysis to verify them and they may fall into a trap in the opening because they did not use engines to analyze.