Okay, the way I'd describe that is that you want to add markers to your lyrics and then jump to the markers, rather than jump one screen at a time. I don't know if there is a way for my app to get the position of text inside your lyrics so it knows where to jump to, but I put that on my wish list to look into.
Another approach would be to record an automation track that jumps to each section of your lyrics, and another item on my wish list is to allow you to jump manually to the next event in an automation track. So that would give you exactly the functionality you're looking for, but you would set it up differently.
Meanwhile, you might want to experiment with auto-scrolling rather than jumping through the pages; that moves the lyrics smoothly so you don't lose track of where you are. You can use your foot switch to pause and resume the auto-scrolling if needed. Instructions are here:
http://www.bandhelper.com/tutorials/performing.html#autoscrollAlso, if you put some extra line breaks at the end, that would solve the problem of the last jump being less than a full screen. You would not want to do that if you're using auto-scrolling, however.
By the way, I saw that you had some ChordPro-style chords in your first example song. If you resize your lyrics to eliminate line wrapping, and change Settings > Appearance > Lyrics Font to Monospace, those should line up correctly with your lyrics.