Obviously not. FSF considers it acceptable to compile programs with nonfree compilers and even GPL includes special provisions for that. They still consider it a problem, but their solution is gccrs.
[EDIT] That was about rustc, itself.: Maybe. You would need to ask FSF. But most likely yes, they would consider it nonfree.
It's answered in that same article, later: We designed GNU GPL version 3 to prohibit this practice; too bad Linux did not adopt it.
So FSF laments the fact that Linus didn't want to adopt their jihad… but they don't put their money where their mouth is: GNU libc is still under LGPL v2… why? Because they know no one would want to adopt LGPL v3 version, there would be fork and FSF would lose what little influence it still retain… why Linux should commit that suicide that FSF refuses to perform, then?
At some point you would have to accept the fact that this article, while profound and interesting, highlights choices that most Open Source developers do consciously.
It's less that “Open Source misses the point” than “Open Source is more of what people expected from Free Software from the day one”.
Very-very-very few people joined Free Software movement for the jihad against proprietary software that FSF started. Most simply wanted to have sources and we shouldn't forget that even most prominent FSFs tools were always developed by people who haven't shared Free Software movement ideals (Cygnus Solutions was founded in 1989!).
But yeah, the fact that RMS picked up Rust as an example is consistent with his analysis of the LPPL-1.2, e.g.:
This license contains complex and annoying restrictions on how to publish a modified version, including one requirement that falls just barely on the good side of the line of what is acceptable: that any modified file must have a new name.
The reason this requirement is acceptable for LaTeX is that TeX has a facility to allow you to map file names, to specify “use file bar when file foo is requested”. With this facility, the requirement is merely annoying; without the facility, the same requirement would be a serious obstacle, and we would have to conclude it makes the program nonfree.
That wording was there for decades, it's not something FSF invented on the spot. They consider Firefox nonfree, for the exact same reason.