My recollection is that you don't need to carry a current ASIC if there is an application for an ASIC in progress.
ASICs are an unnecessary expense and a pain in the butt. I can't see why they don't give them a five or even ten year expiry to reduce the costs of having to renew them. I can't imagine many pilots have an ASIC for two years without incident and then suddenly have an epiphany to become a religious extremist and terrorist.