So instead of just doing the rather fast elliptic curve math when getting a TLS connection request by using a standard crypto library, I’m supposed to call out to a cryptographic coprocessor that may or may not even support the operation I need? Have you seen what an unbelievable mess your average coprocessor is to use, Intel or otherwise.
CPUs have done just fine doing constant time math for decades. It’s at best a minor optimization to add data dependence, and Intel already knows (a) how to turn it off and (b) that it’s sometimes necessary to let it be turned off. Why can’t they add a reasonable mechanism to turn them off?