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They make Bluetooth adapters for Switch you know.
the problem is getting BT headphones to replace my Sony MDR-ZX310s, haven't seen name-brand headphones with BT and headphone jack (for when I get back to school) support
I have the Sony WH-H900N and they're great. I only buy bluetooth headphones with a 3.5mm jack, since I use them on Switch 3DS etc. as well as on my laptop with a mic (I use a V-Moda BoomPro mic which is inline in the 3.5mm cable, awesome stuff)
So I can recommend those. Or the big brother WH-1000XM3 which has better noise cancelling, it's otherwise identical. But they removed aptX support from that one in the newest revision, LDAC is obviously better, not not everything supports that, so it kinda sucks.
I love my WH-H900N though :) Can definitely recommend.
Costs quite a bit more than what you have, but they sound amazing.