Loveland does but they must be clean and in a ball.

Yes, they do.

I checked with Phoenix, AZ a few months ago & they don't accept the lids. If I recall correctly, the lady said "no" because the lids are too small for the machine to pick up, or separate out from other waste. She said no, that's a certainty, so after that definitive answer I may have stopped listening.

I rinse my foil lids and aluminum foil off, scunch it up and put inside empty aluminum cans then crush them.

Naperville, IL accepts aluminum foil for curbside recycling!