[Thank you for understanding, Ichigo-dono! ;A; Let them exchange tales of the trials of brotherhood...]

[Haa, yes, 'free-spirited and interesting' is one way to put Muramasa's personality.]

I believe that to be a strong possibility, yes. As you may know, Muramasa blades have legends attributed to them of being bloodthirsty, unable to be re-sheathed without first having tasted blood.
The legends are also a source of misunderstanding about Muramasa, however perhaps the trait of his so often being unsheathed has carried over into his current form. The word for a 'naked' blade and a 'naked' body is the same, after all.

[Coming out of that contemplation, he waves his hands apologetically.]

Of course, there is little I understand about how Aruji gave us these forms. This is only my speculation.