Are these SMD aluminum electrolytic capacitors busted?
To answer your questions directly: Probably not. Electrolytic capacitors have an insulating oxide layer which serves as the dielectric. When you reverse the polarity, this layer is destroyed. 

Secondary to your question, even if you went to the effort of replacing all the capacitors, chances are the board is probably still toast. Most ICs can only tolerate 0.3-0.5V reverse. If you applied the full voltage, you've greatly exceeded this, which they've alerted you to with the smell. The caps themselves won't smell unless they've vented.