Your wallet could just as easily interpret it as a segwit address. We are working on creating something that actually specifies the address type, and more generally, allows signing with scripts.
So, the weird idea of 'signing with scripts' is old enough to make people confused. It is not good practice (check my posts, above thread). the only way would be implementing something such as 'script type' for the verifier, and go through the following steps:
1- verify the disclosed script against the P2SH.
2- verify the fitness of the actual script with the claimed script type.
3- Extract the address hash from the standardized place within the script.
4- go through the normal verification.
Note that it brings the specification from "generally signing with scripts" down to earth where we are able to do this just for well-formed, standardized scripts.