Losing Internet connectivity won't affect your authentication. The ACS cert is valid for a specific time and that is defined in the cert when it's installed, you can see how long it's valid for by going under System Config - ACS Certificate Setup - Install ACS Certificate. ACS will continue to validate connections against this cert regardless of whether it has connectivity to the CA server.
It may validate itself against the CRL, but your CRL should never contain the ACS cert anyway, it that happens then you have serious issues to discuss wioth your CA vendor. It certainly won't automatically get included just because you lose connectivity or anything like that.