Sadly, that's not true anymore.
On iOS, if you jailbreak, you can still use Apple Pay, and all apps.
On Android, if you root, or modify anything, Android Pay stops working, Snapchat stops working, Pokemon Go stops working, most banking apps stop working, most games stop working.
I've been a supporter of Android since the start, but by now it's just as proprietary as iOS, with more spying and tracking and analytics, and less possibilities to tinker.