Well if Hull stick with Hull City Tigers for 100 years+ like we have with our 4th name then that will become "tradition". People are fixated that football shouldn't change when it does constantly and new "traditions" have been created. Anything that is different from the original club when formed is a deviation from "tradition".
I'm not saying Southampton should have a name change, what I'm saying is the whole notion of tradition in football is flimsy.
Saints want Icelandic striker Alfred Finnbogason according to this...
http://www.sportsdirectnews.com/premier-league/29637-southampton-transfer-news-saints-want-icelander.php
Unless he is signing for us the following day, there is little reason for him not to play in a match for the club that pays his wages just because a transfer might happen at some point.