Any Me-109T that saw combat was not equipped for taking off of carriers, as Denniss pointed out, so no carrier-equipped Messerschmitt saw combat. Moreover, no carrier-based German fighter saw combat. You can look for loopholes all day, but the carrier Me-109 never saw combat, just as the carrier P-38 never saw combat. A carrier 109 makes as much sense as the carrier P-38.
An argument for a non-carrier-equipped 109T makes ever so slighly more sense, but it's still pretty stupid. Though they may have seen combat, it was such limited numbers and was no better than the Emil. So, why?