If the song is currently playing, on Android, on the Now Playing screen, you can tap the name of the playlist at the top of the screen, and you'll get taken to the playlist, and it'll scroll down to the song that is currently playing, and select it.
On iOS, this doesn't happen. All they need to do is make it work the same way on iOS.
Spotify's weakness is keeping all their apps on all their various platforms in sync.
It's the weakness of most companies, when their employees have to work together and stay in sync. Different people work on each app, I'm sure.
Updated on 2022-07-19
If you'd like to remove the song that's currently playing on Android devices, you can quickly get to it by tapping the title of the playlist (located in the top center of the screen). This will open the playlist and the current song will be highlighted in green. From there, you can tap the three-dot menu and select "Remove from this playlist".
We'll keep this idea open and if there are any updates about adding a remove song button to the menu on the 'Now Playing View' or if we have some news regarding this option on iOS devices, we'll post them here. Remember that you can still add your votes here if this is something you'd like to see in the future.