By the way, the Android app does absolutely have an UI equivalent of a homepage, it's even called "Home".
Making your app behave differently because you navigated to the current state via different menus is very bad UX design. That's all I'm saying. Your suggestion would entail either UX complexity or such implicitly different behavior for YouTube.
Yes Android has a "Home" button. But what I meant by no real UX equivalent is that when you open youtube on the web you'll open a new tab and go to youtube.com.
When you do so an Android you've likely just dismissed the app in the past, and opening it again will bring you back to the last video you were viewing. You don't go through the homepage by default.
Thus it's more of just another menu item on Android, not something that's equivalent to / on a website.
So let's say I'm interested in exactly two things. Russian dash cam videos and videos of trains without narration.
I go to the homepage and click on one type of video, what should the next video be? A random video from the two categories? One or the other? Should it show me a banner at the top indicating what recommendation mode I'm in (historical preference or "similar to current video").
Now I go and do the same on my Android YouTube app which has no real UI equivalent of a homepage, what happens then?
This is a lot of UX complexity for a feature few probably care about.