IOW, not gonna happen.
I could see coprocessors becoming more popular though. We already have AES-NI, what if the sensitive keys never ended up in CPU cache because the CPU never had to see them? Specialized HW could not have speculative execution. Granted, that doesn't prevent seeing the plain text of something that's decrypted. It's all about the threat model and what tradeoffs you're willing to make.
And that's why Intel et al haven't completely abandoned speculative execution. For the vast vast vast majority of people, the security issues they're much more likely to deal with are straight up getting scammed. Not 0 days, and especially not insane stuff like this. Unless you can turn it into a zero-click iMessage bug (or similar), meh.