I thought I read somewhere the innovations refils are smaller at the neck than standard, so only genuine ones fit the pump/chuck. Worth investigating before you blow (geddit) money at tyre inflators. They are a good souce of refills though, good prices and delivery time. Don't forget to factor in the delivery charge, over £4 last time I looked so bulk makes sense.
Truflo Micro CO2 is my recommended "pump" screws on to either inner tube valve type (without an adapter) for zero leakage. Much better than the push on one it replaced: always managed to loose half the CO2 when in a rush with cold hands. Plus it's tiny.