Off the top of my head, I can't think of an applicable Code Article except 110.3(B) referencing manufacturing recommendations.
Two questions come to mind. What amperage ? and are you plugging them or unplugging them under load ?
(I have seen cord and plug mfg instructions on large amperage plugs advising not to plug/unplug under load).
If you are plugging/unplugging under load, I disconnect at the recep, would be advisable, IMHO.