When receiving HTML from a VE session, process it with the same kind of
ParsoidClient that was originally used to generate the HTML. If we were
to use a different implementation, the ETag wouldn't match, so we would
fail to find the stashed data-parsoid map, and the edit would fail.
Bug: T320704
Change-Id: I3b73431fccacecb4ad88b82f8f5675b1042e03ce
