If the socket fits and the fan is still ok, why not, the stock coolers also manage to keep the processor within the recommended parameters. The Arctic does it a little better. Clean the cooling block well before transplantation... Otherwise, put a new one on for the good feeling ;)

I have the be quiet! Dark Rock Pro 4

We run the processor with a "be quiet! Pure Rock Slim" 12.48cm, which is recommended up to 120W TDP.
No heat problems, runs cleanly but is not overclocked.