I actually think that a role playing game is exactly the soft of situation where this is in fact reasonable.
There is a lot of mythology about gods walking among men, hiding their true nature, etc. And more recent examples include the TV show Lucifer.
Someone wanting to roleplay that sort of being is entirely plausible. Without knowing the person's personality (which you presumably did) it's hard to say whether they would have genuinely wanted to do that or if it was an excuse.
As GM, I strongly disagree. Any player who wants a character with "I can overrule the GM but I will do that only occasionally" power is a very big red flag. A D&D game isn't a mythological story or TV show. It's a community told story where one character having an "OP" (over powered) character basically destroys the balance between player and GM as well as between player and player, both of which are extremely important.
To make it clearer, the players and the GM will be struggling against each - in a controlled way, yes, but also a meaningful way. I'm not a super deadly GM but players will be risking death in at least low-key way and so everyone will sooner or later be "using everything they have".
Edit: basically, saying "this rule/power/etc exists but won't have an impact" is more or less saying that the "rules aren't serious", in either the 'Chat Control' or the DM situation. But the very nature of rules is that we wouldn't have them if they weren't serious.
Yeah, if you have a huge amount of trust between player and DM that can work. There are both in-game and out-of-game ways to manage issues if they arise: in-game a DM can always limit or restrict something after the fact, out-of-game a problem can spark a conversation and ultimately a D&D game is a set of people who voluntarily get together and play.
(That said, another approach is to have a conversation about "what are you trying to achieve", and find a way for everyone to have the fun they'd like to have without risking something game-breaking.)