Roughly speaking, solder filled vias handle about twice the current, or thermal vias about twice the heat (half the R_theta), same thing.
Exact ratio of course depends on plating thickness, diameter, and solder alloy (lead-free is better than leaded). Easy to calculate, just punch in the conductivities and dimensions.
Easy enough to fill vias (or thru pads, same thing to the fab) with solder in a wave process, just use a large enough unmasked annulus that it picks up solder reliably.
Tim