So, does this update fix the problem
This update has been available for quite a long time.
This was not a 'recall' and Honda would only install this if an owner was having a problem.
I think it got incorporated into the build of 'newer' Clarities at some point...
But - my understanding was that it was addressing public chargers that had poor power quality.
It seems quite unlikely that it could be related to the problem you (and
@Demian Johnston) have seen.
I doubt you would find any others who could relate this fix to whether it had any effect when using a Tesla EVSE.
You two are the only ones I have ever heard of who have tried a Tesla EVSE with a Clarity so consider yourselves pioneers !
If trying to fix this is important to you, it would certainly be possible to go to Honda and request TSB 18-097.
They should be able to tell whether your vehicle has it, and install it if you like.
Bottom line - I wouldn't hold my breath that this TSB would solve your problem, but if you tried it and still had the problem, then you can be more assured that the problem lies in the Tesla EVSE and you could continue with that angle.