The main issue with the mechanism seems to be collusion between donors. As Aaron mentioned, MIRI took part in such a fundraiser. I claim that it was so successful for them precisely because MIRI supporters were able to coordinate well relative to the supporters of the other charities -- there were a bunch of posts about how supporting this fundraiser was effectively a 50x donation multiplier or something like that.
MIRI took part in a Liberal Radicalism-based fundraiser at the end of 2018 (see "WeTrust Spring" in this post).