ssh key question - does jimc@fedora need to be updated to follow new hostname ?

so I generated my local .ssh/id_rsa before I chose a hostname.
Now that Ive updated hostname, the id ends with jimc@fedora,
which is somehow misleading.
but does it matter otherwise?

as a test, I have added the key w.o alteration to github,
and it works, implying that the hostname is not part of the key itself,
or at least not verified as consistent with the key.

does that sound more or less right?