I once had malware disable selected browsers on selected sites.
That said; Some sites are intentionally designed to work with one browser better than another. For example many Microsoft stites at one time only worked with MISE, they actually ask the browser "What are you" and if it did not respond properly the site would load wonky. I can understand Microsoft doing that, but not Joe's Pizza. (Generic name for any site selling stuff).
All browsers have secret "Hooks" where you can shortcut code writing to take advantage of an undocumented feature.
Some web designers stick to teh standards like glue,, Their pages work with ALL browers.. others take advantage of the undocumented feature of this or that browser and thus loose customers.