>> Tho I think in master next-error-find-buffer-function
>> should support a list of functions, so the user could customize
>> their order to arrange their priorities.  Then they could be called
>> with run-hook-with-args-until-success.
>
> I suppose.
>
> We should perhaps wait and see if people do customize that variable at
> all. But the idea is solid.

Actually, people already want to customize it to a list (at least, I know one such user :)
So here is a patch: