I think the opinion is leaning towards yes. I myself am in the middle, but won't mind either way.
Explaining the situation to June
it depends on how "casual" the conversations with June are, in general. It may seem a bit strange. Or not. Can't really judge.
archive.org's "Every bit helps" is nice too. "Bitcoin donations: Every bit helps. With bitcoin you can donate amounts as small as a cent, without any middle man profiting from your gift."
Strong! Now we're getting somewhere. This, or a variant of, idea is so strong, consider it stolen.
Great! That's what I wrote it for

The "Every bit helps" is the core, I think. The words around it could maybe be improved upon.
By choosing Bitcoin as your donation option, we incur no transfer fees. Therefore 100% of your donation is received in kind, keeping the spirit of giving going to those in need.
@sadpandatech: I truly like what you wrote here, but why do I continue to trip over 'giving going' each time I read it? I'm not an expert grammarian, therefore it's either grammatically correct or needs addressing. My effin' head can't get wrapped around that wording. Please correct me if I'm in error. Again, I truly like the post, and in no way trying to be hypercritical here.
Suggestion: Remove the "going" (Also some slight rewording):
By choosing Bitcoin as your donation option we incur no transfer fees, 100% of your donation is received in kind, keeping the spirit of giving to those in need.