True, but in that case I'd advise replaygain anyway as that avoids that extra re-encoding. (several cd burning software should also support replay gain (both for ripping and burning).
Also, replaygain has the advantage that it's balanced against a standard value, normalizing is not.
Imagine normalizing the whole collection, then some months later you got songs that are too loud or soft. you normalize again.
Only this time some of the songs you normalized previously will really start to suffer in quality, audibly.
If it was not a lossy format (as mp3, ogg and mp4 etc is) but a lossless (like FLAC or uncompressed wav) one then this issue would not be easily noticed,
although over time even there normalizing will reduce quality (it alters the original audio afteral)
This is why audio engineers only use normalizing as a final step in the production before making a audio master for manufacturing.
So if you do decide to normalize your mp3's, make sure you do it on a copy of them instead, unless you still happen to have the original cd's laying around somewhere that you can re-rip when the mp3's start to sound really bad due to too much normalizing.
Also is you want a tip on normalizing settings, make sure that louder tracks are reduced in volume and quiet ones are kept untouched.
Quiet/older recordings tends to be less messed up recording wise so they got a larger audio dynamic,
modern recordings tends to be so dynamically squeezed they are almost flat or clipped at times. (look at audio recordings in a WAV/audio editor)
So reducing those is best. (if possible, it depends on the software you use, if the software has any of the routines similar to replaygain you should be ok as replaygain is not "fooled" by messed dynamic ranges like that, in fact, this is the main reason replaygain was made after all
And yeah, I'm kind of a audio geek. I can't call myself an audiophile really as I'm far too poor to be able to do that

I may not be able to improve sound quality on my system/music/stuff,
but I always do my best to avoid reducing the quality of what already is
And I always try to teach others to do the same, people may hate me now, but in a few years they'll thank me when their friends start bugging them for a copy/re-rip since their tracks sounds like it's been dragged through a washer and metallic pipe. *laughs*