This seems like a narrow understanding of value.

Which do you think has more value to me? (a) I save some money by exploiting the storage loophole (b) The existence of a cultural repository of cat videos, animated mathematics explainers, long video essays continue to be available to (some parts of) humanity (for the near future).

This is assuming doing A has any meaningful impact on B.

Anyway in this situation it's less that YouTube is providing us a service and more, it's captured a treasure trove of our cultural output and sold it back to us. Siphoning back as much value as we can is ethical. If YouTube goes away, we'll replace it - PeerTube or other federated options are viable. The loss of the corpus of videos would be sad but not catastrophic - some of it is backed up. I have ~5Tb of YouTube backed up, most of it smaller channels.

I agree generally with you that the word "value" is overencompassing to the point of absurdity though. Instrumental value is equated with moral worth, personal attachment, and distribution of scarcity. Too many concepts for one word.