It does sound like your wheel nuts are damaged if the wrench doesn't fit properly.
I carry one of these extension handle wrenches & a 6-sided 22mm socket.
SCA, Repco, etc have them and when extended you get much better leverage than factory wrench.
Note that the
6-sided socket type is the key to not damaging wheel nuts.
I've actually gone one step further and changed to solid wheel nuts to avoid even the potential of damaging the weaker original ones where the 22mm size is only a cap over a smaller nut.
Cheers,
Scott
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