Ok, so you have Oldflash's default replacement hilts, SLM, and Marius' blade replacements.
I think the problem is more than likely the .txi's
Marius' blades have only 2 frames. all of mine have 4, and I'm not sure about Oldflash's, but you aren't using them so that dosen't matter.
The default game sabers aren't animated and have just the one frame. But using Marius' blade replacement would override that.
If you could screenshot one of the hilts with the problem it would give more insight.
Other than that, what I would suggest is, (and I know it would be defeating the purpose of using Marius' blades) but going into SLM's tslpatchdata folder and replacing all blade texture tga's and txi's in your override with SLM's. Just to see if that will fix it.
Models dont dictate the number of frames used for any given lightsaber - tga's and txi's do that.
Ok, nevermind all that then. Good you got it working.