I'm not able to reply and stuff, so I'll post an answer and see how much abuse I get. There seems to be much less hate over here than in the category I usually read.
@Leo Wattenberg touches on the closely related question that brought me here: Is there no switch/modifier (or similar but separate function) that allows the use of frames or keyframes as an argument?
And that seems to confirm my suspicion from research: no.
But it looks like I misunderstood seekTo, and using that with doubles instead of integers might, by luck, get me a more preferable keyframe than integers. My competence in this area doesn't extend beyond the "just add some characters to the URL I found" approach that @Stevoisiak and I were using (This link from a relevant question is over my head, at least for today) but this is a huge step in my quest to play a clip from a 40s Disney movie at a slightly more convenient moment.
Edit: I guess I'm posting more of a solution than I thought, so posting this as an answer is almost appropriate?