Barring someone doing a "check if AVX is available" check inside their code, binaries are generally compiled targeting either SSE or AVX and not both. You can reasonably expect that the same binary thrown against multiple architectures will have the same output.

This, of course, doesn't apply if we are talking about a JIT. All bets are off if you are talking about javascript or the JVM.

That is to say, you can expect that a C++ binary blob from the Ubuntu repo is going to get the same numbers regardless the machine since they generally will target fairly old architectures.