No, that's not how it works. In total this is resistance to EE, Causality & Info Hax. H isn't resisting the other abilities at all, they just can't work.
As an example, Anos resistance to CM 1, Law & Fate manipulation came from not being destroyed by the order of destruction but giving him resistance to the other abilities (Death manip, HGR neg, Immortality neg etc) was voted against as it isn't resistance to the subset of the ability
First of all, stop the whataboutism. Two different verses with two different contexts, perspectives, and mechanics. Anos/MGF is not the golden standard against which all verses/characters are to be measured, and neither it is relevant to this thread. If you have any issues with how Anos/MGF stuff is treated, then make a CRT for it instead of pointlessly bringing it here comparing its case to an entirely different verse.
Secondly, that is how it works. Info Hax is the main thing whose application leads to Causality Hax, Reality Warp, Fate Hax, and a plethora of other abilities. Your whole
"He isn't resisting the other abilities at all, they just can't work." argument is a self-debunk as those abilities just can't work since D is resisting the main hax i.e. the Information Manipulation which leads to those abilities/effects. If Valcua were to write anything else such as
"D, you will explode in 5 minutes, because I have written it in the AR", it still wouldn't work. If Valcua were to write
"D, you will lose your powers and become a woman, because I have written it in the AR", it still wouldn't work. The reason is that D is resistant to the very thing which generates/causes/leads to these effects aka Information Manipulation. We wouldn't selectively give resistance to specific haxes here but rather resistance to most of the effects that are generated by changing/manipulating the Ether/AR.
Matter of fact, since you like to bring other verses, I'll bring an example too which is
This Guy or
These Guys who are Resistant to all effects of
Aether Manipulation/Magic where Aether is the
Primordial Void/Nothingness and generates
all forms of Magic in the Verse. Khorne's blessing allows them to Resist Magic but we don't selectively give them only the magic abilities that they have shown to resist. Another example is
Blazblue where many of the characters are Resistant to
Phenomena Intervention aka Observation, but we don't selectively give them/limit their resistances to just Probability Manipulation, Quantum Manipulation, and Reality Warping.