Maybe, maybe not. It's not clear that Nixon's legal team could have successfully argued that planting listening devices in the DNC offices would constitute an "official act" of presidential power.

I would hope that, in this hypothetical reality, a judge and jury would still find that laughable.

Even if such a ruling would have kept Nixon safe from prosecution, Congress still could have impeached him, and at least that would have kicked him out of office.

Of course, Nixon was preemptively pardoned, so we didn't even get to see how that would have played out in the reality of the time.