As a former wideout I know I favored one side over the other. the footwork is different, the hand work too. If you would listen to that Landry interview I posted for you, he also covers this and he is referring to the Chiefs' players talking about it. It is different. Some guys can, some cannot play both sides. Some cannot switch.
There are a lot of FA though, bet they grab a RT there on the 12th or so.
and no - it isn't a muscle memory thing because you have to master it before your body can memorize it.