Oh, no. I mean, if that were true, that one outcome is decidedly worse than the other, how would it even be a contest? In any case, I don't understand how any of this is strategic.
The strategy is pretty obviously to vote and advocate against the worse option.
That is just voting and having an opinion, not really a strategy. What is the incumbent campaign's strategy for reelection? Are they just hoping that enough voters will see it your way (I presume), in spite of supporting the genocide as well as the policies that more or less haven't changed since the previous administration?
So then the strategy is to shame anyone who isn't fervently anti-Trump into changing their mind? How is that supposed to work given the Trump era policies that are still in place or the incumbent administration's material and rhetorical support for the Israeli's genocidal persecution of the Palestinians? If people want to avoid shame, then not voting for either of the contenders, or at all, seems like the best move for them.
What on Earth is "voting strategically" supposed to mean individual voters in US Presidential elections? Arriving at polling places early? Voting by mail? Or do you mean something illicit like voting early and often?