340 damage dilemma

Normally a sonic tester will only measure sleeve thickness, not the block behind it. So you're probably in better shape than you think.
That is not correct, if the sleeve and the original bore are in very close contact with each other as they should be for a press fit, the sonic wave will penetrate both and report back the total thickness. The only way only the sleeve would be measured would be if there was a cast iron sleeve in an aluminum block, with the tester calibrated to iron the iron thickness would be reported.