In practice they do. I recently deleted a timelapse app from my new phone (se) because the app wouldn't work with the new update. That may not be the best airtight example as the new OS update I did 'choose' to upgrade to which did somehow break the app, and the creator didn't release an updated version for the new OS, but in a real world scenario are you going to discontinue OS updates on a device you purchased months earlier for a few apps? Meanwhile there's decade old computers running windows xp that have no problems starting photoshop 7.0. There's also this video: https://www.youtube.com/watch?v=PH1BKPSGcxQ showing Windows upgrades from earliest versions to newest and software like excel being compatible from earliest versions onward.