i don’t think this is really a browser issue. see https://forum.inaturalist.org/t/constant-429-errors/49165/11.
you may want to let iNat staff (through the iNat Help Desk) know where you’re working from and which ISP you’re using from your computer. (i assume you’re using a different connection for your mobile device.) if you can tell them (privately) the specific IP address you’re working from (from your computer), that might be useful.