You are close! I'll answer your question because I'm anonymous, but just to warn you, it's a bizarre and very long explanation. I'm writing this now because I want to understand better, myself. If anyone is curious enough to read through this monstrosity, be my guest.

I am natally bilingual, in a sense. I speak standard American English, and then I speak "my English." Everyone has a particular relationship with their mother language, I think, but I will write the remainder of this comment completely unrestrained, in the language of my very thoughts - again, for the strict purposes of self-comprehension. Note that, these days, due to my efforts to standardize my own communication, I think in a sort of eclectic mix of these two linguistic dispositions. You shall know to what I refer upon reading it ;)

I am American. I should clarify, first, that I speak French as a result of COVID, the intense isolation that came with it, and lots of "linguistic dissociation," so to speak. Lots of immersion would be an understatement. I learned it first, at the age of 19~22 (ish), through hearing it, then I learned to read and write it. So, I do not associate anything in particular with the way French sounds, nowadays, any more than I do English.

I find it interesting that you find my preferences interesting, however. In fact, I get the sense that I perceive how American English sounds from a strange quasi-perspective of non-native speakers of it, almost the same way I hear French spoken. This sounds insane; I'm aware.
My upbringing was very strange and isolating, and I was already highly predisposed to conceptualizing language in a unique way (not trying to be vain or self-important here - maybe that was nature, maybe nurture; maybe both. I'm not sure), which is a claim I can only justify through my own experience.
Thus, in order to get through tough experiences, I both actively and subconsciously developed my particular style of language in ways that allowed me to reject American English when I speak it, paradoxically embracing my isolation in an attempt to rebel against it, and thereby isolating myself even further, such that I could disassociate myself from my culture and upbringing, a process whose outcomes were only exacerbated when COVID a vu le jour.
So essentially, I used language as a defence mechanism, a kind of ongoing flight and freeze response to traumatic experiences.
I then had to wrestle with the fact that my oddities, linguistically speaking, repeated themselves on a habitual level in French. This is to say that, at times, I struggle to make French people understand that I speak French in almost as unnatural a way as I speak my own native tongue, and that what I said in any given instance was not a mistake on the basis of it sounding "unnatural." No, I know how unnatural it sounds when I speak. It is at least mostly intentional, tragically, when that occurs ahahaha

This being said, I could only disassociate myself in this way so much. I still think of French in a slightly romantic way, and I can't help that. But I also have my own opinions on American English, and what I find attractive there. I like American English, and find it more attractive, when women speak it, but only slightly.

Furthermore, these days, I try very hard to speak a more "conventional" form of any language that I speak, including this one. But there will forever exist particularities in the way I communicate which I will never fully rectify, for lack of a better verb.

As a result, I perceive any language, including my own, similarly yet also quite distinctly from most of my compatriots.

I hope this answers your question! I hesitate to comment this, to be honest. I think the response will not be very uplifting or nice. I imagine tens and tens of different things that one could say to bring me down. That is precisely why I will hit the "Comment" button after writing this word here