Don't turn argumentative just for the sake of it
"Probably" does not mean I'm unsure, it means there are other cicumstances involved. It depends entirely what plugins you have installed and whether they are smart enough to utilise the directories defined in Wordpress, or perhaps they need an absolute path relative to the webserver home directory? There's a number of instances where I've had to change the paths in the SQL dump with a find/replace to woraround some plugin or suchlike that didn't behave well following a server move.
Maybe you're just so used to using a webhost that offers one click installations and changes your nappy that you've never had to use the
official moving guide in the codex (also the number one result on Google for 'wordpress migration' as it happens). Or maybe you're new to Wordpress and have never had to work with older versions.
In any case, the fact that I didn't state absolutely positively you MUST should have been a dead giveaway to these obvious facts, even for a self-proclaimed pedant. Perhaps you don't do much with your Wordpress installations, but I have worked with Wordpress for a long time and with a multitude of plugins, so please don't categorically talk about things you either don't fully appreciate or are ignorant to.
Still neither of you have indicated where this magical 'move my site for me' feature is in Wordpress. When you do I'll eat my hat.