This is a genuine question mark, would you not retest the whole installation if you pulled the old board apart and completely recon formed the layout of the board and added rcd protection, but if you replaced the board you would,after just doing a eicr
If i ammended the board - which like you, i don't think will be possible or i replaced the board then i would obviouslly do a EIC. So yes in answer to your question, of course i would carry out the full test procedure.
If i replaced the breakers for rcbo's id carry on with the EICR.