Perhaps, but remember that the stench of the Bloomberg name dooms every effort connected to it. His money spent in Colorado undoubtedly influenced voters, just not the right ones.
I'd rather that group became known as a Bloomberg front rather than masquerading as a group of actually concerned citizens, it's much better for us that way. And the group is a sham, composed of professional PR people and fundraisers. Apparently not very good ones if they have to beg cash from that authoritarian piss ant.