I dunno dude, you can assume that the person is being disingenuous, but you can't know that. Does the tech support agent genuinely know you and know what's going on in your life? No. Is there a zero percent chance that they also would be glad to hear that another random person just living life like them is getting through it okay? Also no.
They might not care on the same level or in the same way that your friends might, but when a grocery store worker tells me to have a nice day and I say "you too!" there is a part of me, however small and unaffected, that does genuinely hope this random person just trying to make it work in life is doing all right and has a good day, because I would want that for myself as a random person as well.
You can project that they're being completely disingenuous and don't give a single half a shit how you're doing, but making that assumption for all of humanity, and then allowing yourself to be so bothered by it that you make an internet post is sort of... Silly.