Starship has flown 5 times so far, all since Artemis I; however, none have flown to orbit. Will it fly, successfully and orbitally, more times before Artemis II, than SLS flies in its entire program?

Orbital will be defined as perigee above sea level. Success criteria will be taken from the Wikipedia launch list page.

Close date will be extended as needed until the SLS program ends, or SLS has flown more times than Starship flew between Artemis I and II.