Actually what i have tested only seemed to me like the star rating of the card is transferred but not stats (even tho they are seen in grimoire tab). So I really doubt the movspd will be transferred, but if you find it is, please post it here.
So far tested morphing 10star marnox into 1star netherbovine, and 10 star marnox into 10star netherbovine and when simply summoning the 10star netherbovine without morphing, the damage is the same as him being morphed from 10star marnox (marnox has greater patk, but the actual attack damage did not change compared to simply summoning netherbovine 10star).
Please feel free to correct me if you have different results.
EDIT:grammer