That's pretty odd to assume. All but Debian are running more or less the latest, and Arch is on the "fresh" track.
And it seem to be the start up process that differs, as putting them all in a ram-disk does not alleviate the issue, and restarting the app cuts the time in ~1/2 but equally for each distro.
My guess, as I said first is what default libraries as loaded, and possibly how they are configured. I do however find it strange that this has not been mentioned elsewhere as I've been struck bu this difference for years, when I happen to load a pure Debian install (not what I usually use).