Probably, but maybe not so much. Prior to his death Senna had been wanting newer safety measures, and with what happened to Barrichello and Ratzenberger that weekend, he'd probably have pushed harder for them afterwards had he not died himself.
Also, without the overhauls, Hakkinen might not have made it beyond '95, which would probably have resulted in even more safety measures. Honestly, there's been so many crashes since 94 that, without the measures, would have caused more deaths, which in turn would have caused new measures.