The scenario you're speaking of hasn't happened on Android.
As a famous example of a popular app that eventually caved into Google's demands is Fortnite [1] and children are tech savvy (or at least motivated) enough to install from outside the app store. If Fortnite couldn't do it, then no, it's not easy to imagine TikTok doing it, especially given TikTok's market share is made of mobile users mostly, so no PC, no PS 4, no Xbox.
There are indeed alternative app stores from Samsung, Amazon, maybe others, however Google's Play absolutely dominates the Android ecosystem.
I'm an iOS user myself, however this whole reasoning is bullshit. The only reason Apple keeps such a tight control is because they want to keep that 30% commission on all sales, which is highway robbery. And I also suspect them of wanting to have enough reason and leverage to get rid of any app that threatens their own products.
[1] https://techcrunch.com/2020/04/21/epic-games-launches-fortni...
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Also the elephant in the room is the web.
I see grownups and children alike using the web successfully all the time. The web can be secure without a gatekeeper because browsers do a reasonable job at sandboxing. In fact it is the competitive nature of the market that makes it secure, consider that's how extensions and ad blockers happened (in the meantime I still don't have a browser on iOS capable of using uBlock Origin).
And yes the web has dark corners, yet we live with it just fine. Look, we're having this conversation on a web page that's not gated by Apple and we're still alive.