I did it again, clean install two separately versions of MO (1.3.8 and 1.3.9). Install SKSE scripts and Alternate Start - Live Another Life 3.0.4 through MO, separately 1.3.8 and 1.3.9. And again, with 1.3.8 everything works as it should, but with 1.3.9 I have issue with Vampire Lord form. Update: I finally found the cause of the issue. By default MO v.1.3.9 specifies an incorrect order of loading bsa-archives.
Update.bsa
Skyrim - Misc.bsa
Skyrim - Shaders.bsa
Skyrim - Textures.bsa
Skyrim - Interface.bsa
Skyrim - Animations.bsa
Skyrim - Meshes.bsa
Skyrim - Sounds.bsa
Skyrim - Voices.bsa
Skyrim - VoicesExtra.bsa
Update.bsa must be at the end of the list. MO v.1.3.8 specifies correct loading order and it doesn't cause this issue. MO v.1.3.9 users can fixed that issue by editing the file "archives.txt" inside their MO profile folder. P.S.: I hope you understand me, English is not my native language.