For consistency, I would vote for the same icons as the desktop ones.
But it's not really an important issue, so only if you happen to find the time.
Yes, I thought that was a logical choice, but after testing it, the styles too visibly don't match with the other window icons. I'm trying just using the main-window icon from the old set with the new ones.
The new icon is a gecko on a globe, which is the default throbber in the non-VL versions of Eurynome. But, it probably doesn't make sense for other themes. I think Jtek has done a great job updating the set, though.
It's no trouble (and thank you for your input!) Just copying over different icons. 1.1.11 has just been released, so I'll come up with something fairly quickly.