People are idiots, and can't think objectively. That person would blow a hippo if they thought it would put them on the right side of social justice. Of course there's nothing "racist"(holy shit, can we bury that word?!) about disliking a particular sound.
Unless the reason you don't like the sound is because it's characteristically made by people of a certain race. So absolutely not liking an accent could actually be racist, but it depends.
And further, what absolutely defines race? Race is more than just skin color, although that's been the primary focus of it in more recent times, historically race has included different language, nationalities, and physical traits, so yes racism actually does apply.
Now if you want to argue that it should be called what it really is (xenophobia tends to be a better blanket term), then fine, but acting like there aren't people who absolutely do show disdain similar to racism for groups of people based on things beyond the color of their skin is just outright delusional.
Really, a lot of bigotry is really tied together, so who cares if its racist, sexist, whatever-ist, it all leads to the same result, blind irrational hatred.
We have made some progress on xenophobia, but it absolutely is still a very widespread issue in pretty much every society and group of people in the world. The reality is that I don't think we've made as many inroads against it as we like to think, it's still there we've just made there be repercussions for voicing said opinions.
That being said, not liking things tied to certain nations, societies, etc does not necessarily mean someone is bigoted, and I know people feel that its been hyper-scrutinized which is making things worse (and that has actually often pushed people to outright bigotry in response) but there's a ton of people who were being bigots but just didn't feel they were because they just plain do not understand what it is or think they're justified and thus they can't be bigots (because to them they're justified for not liking a group of people so it's not disliking just for them being different, when functionally it's the same). And some people might just be making off color commentary intending it to be lighthearted but obviously people can take issue with it (which often devolves into the stupid freedom of speech debate where seemingly the people who originally spoke think that people exercising their own freedom of speech to be critical is worse; often times them being bigoted or not comes out in the wash as if they go on poorly thought out and worded tirades its clear they really are and are just trying to claim it was a joke to pretend they are not).
Yes there absolutely are levels of "racism" where certain kinds are more accepted or carry more of a joking connotation (for instance hating Boston or New York accents, or Southern drawls, Canadian "ehs", etc), with the distinction being that generally those are situations where a group of people don't have situations where their group was specifically targeted with horrible acts (and yes you could probably argue just about every group has, but
Anyway, point is, it's not nearly as simple as you make it out to be and if anything I think you could use more of your own objective thinking. There are people that are that way, but lumping in everyone who discusses race/gender/etc issues as social justice warriors or whatever nonsense is doing exactly what you're accusing them of doing (just labeling them as something without actually looking at the context or specifics of what they're saying). I can absolutely understand not wanting to constantly take things to that level, but I don't know why people have to be so dismissive of any ideas (I'm certainly guilty of doing this as well so it's not like I'm trying to cop a holier than thou attitude, I genuinely do not know why its seemingly human nature to be this way, perhaps it, and xenophobia are leftover vestibules of evolutionary biology).
I don't think you're racist or really bigoted much in any way, so don't think that I'm claiming that or even the whole thing is actually targeted at you, but rather the overall trend of some of that that I've noticed (personally I think there's been quite a lot of blatant bigotry online that, and maybe I changed or just started to be more aware of it, but it seems more apparent lately, and it's also been taking a more aggressive tone such that its more pointed and much less jokingly done than it used to; some of it is specifically because people are just discussing some of the topics and then people that don't want to impart negative reactions, and while I'm not lumping you in with the heinous ones, you seem dismissive in a way that I feel like its misguided).