No but CSIDH doesn't use torsion point images because the class group action is already commutative. So there's no need to resolve the lack of commutativity.

Let me extend that comment a bit. SIDH operates over the 'full endomorphism graph' which doesn't have enough structure to form a class group. What we do know about it is that the ring in question is isomorphic to a sub algebra that is a quaternion algebra. Quaternion algebras are not commutative and this property is inherited.

To compare to diffie hellman, imagine that when you combine public material the order matters. If Alice and Bob don't find a way to agree on the order the secret is computed in, they get different results.

SIDH's torsion point images are how that agreement happens but they also depend on curve parameters that relate to the secret isogenies under use. It is this that is being attacked. A special case was found back in 2017, but no clear way to SIDH.

Warning on CSIDH: like CRS before it is vulnerable to Kuperberg attacks, so there's a subexpontential time attack. It's arguable therefore whether it is post quantum and what parameter choices are appropriate, if any.

This is all fine though. SIDH was never a practical contender for many use cases like say smart cards, because waiting 5 minutes for your payment to be authorised on a 40MHz smartcard processor is a bit of a no-go. SIDH is orders of magnitude slower than all other options.