Using a polarizer in the conditions for which it was intended, you shouldn't get too much flare problem, so uncoated, single-coated or multi-coated becomes pretty much a wash for most uses. The principal concern there is the quality (optical flatness) of the glass. It's those odd times when you're trying to control a reflection hot-spot that multi-coating pays off. For an always-on filter, like an UV, then multi-coated top quality is the only way to go.
)


