Not sure about San Star, but the no rinse sanitizer I use is an oxy-based one and it doesn't last too long. Over time the oxy part is spent up just sitting exposed to air, so after a few days it would just be water, not good enough. That's why I use vodka.
I have a "bubble" type airlock and it can't really suck back in the vodka, it would just pull bubbles thru.