Pot, meet kettle
No, it isn't.
1) How often does this scenario happen? Extremely rare. So why are you getting all bent about it?
B) Who is up next? If it's one of their better LH hitters, then I go with the guy who is least likely to make an out because HRs are rare. Vaughn has hit 1 HR in 66 PAs vs RHP this season, so I'm not counting on him to hit a HR. Nor Frelick, because he's hit 2 HR in 164 PAs vs RHP this season. But, if someone like Ortiz or Perkins is up next, then I might take more of a chance on that rare HR.
3) Who is available to PH? If Yelich or Bauers or Turang is available to PH, the answer is neither.
In your rare instance that happens in a vacuum with no good LHH to pinch hit, Vaughn OBP vs RHP in 2026: .273
Frelick OBP vs RHP in 2026: .334
So, given that I can't count on either to hit a HR vs RHP, I go with the guy who is most likely to extend the inning, which is Frelick.
Now, go relax and have a cream soda, do something to chill out.