Yeah a turn to the right might work or it could bury your wingtip into the wing-root of the other aircraft OR maybe even cause a CFIT (admittedly, that is unlikely @33000' but possible at lower altitudes), best just to follow the correct procedure and live. We all remember what happened last time an RA was ignored don't we?!
TCAS III may be able to give headings when developed but until then its climbs and descents only.