No, it does not. There's plenty of subtle implementation differences between x86 CPUs of the same manufacturer. Usually different generations, but it's enough to mess up meteorology.
I’m surprised you say it’s common as I haven’t yet bumped into the problem and I have a large suite of complex FP tests (engineering calculations) that have reproduced to the last digit over 15 years and dozens of different test machines of all flavors.
Results calculated 2004 on P4’s still work out to the same results after millions of calculations on every cpu since then and dozens of versions of the software.
Edit: SSE actually do transcendentals at all so it’s possible I’m saved by stable software defined transcendentals in .net (effectively then the Windows x64 implementations)