Javascript is theoretically fixable -- what's needed is less fine-grained timing capabilities. I think it would be very hard to completely eliminate the possibility of controlling speculative execution as long as you can predictably invalidate the CPU branch predictor, which can be done even at a high level with if statements. Unless you get rid of the notion of contiguous arrays (making predictable word-aligned cache manipulation nearly impossible) and potentially remove the JIT completely in favor of an interpreter, it's hard to completely be rid of this class of an attack when executing any sort of code on the processor. Those steps are probably possible, but the JS performance hit that ensues would be the death knell of any browser.

That said, without some way of extracting timing at the granularity of 10s of instructions, this attack is moot. So that's likely going to be the mitigation. Unfortunately, the web frames used in some apps are infrequently if ever updated, so JS engine updates there are gonna be hard.