Here, the Keyblade draws power from that and so all its abilities are also tied in that manner.
Anyways, type 2 info manip isn't enought if there's no CM type 1 to properly cover it to say the least, per basic power semantics and all.
I also don't have to remind that resistance negation and power null don't inherently covers every power but only the ones displayed, and so the lack of covering on CM means that it wouldn't work on stuff inherited from the CM type 1, which in this case includes time stop resistance, EE and sealing negation, for example.