From the perspective of web browsers, I don't see a huge benefit to the additional double-precision floating point performance. Mozilla uses double-precision floating point in Javascript processing which is an interpreted language and the processing doesn't lend itself to benefits from SIMD.
There is code that does floating point conversions and arithmetic for integer scaling but that's done in single-precision. Image rendering can usually be done in 16-bit or 32-bit integer arithmetic which lends itself to SIMD processing but usually the integer processing gives you far more bang for the cycle.
I'd guess that games would benefit more from single-prevision performance improvements than DP.