Actually, now that I tested this, this also happens also in Looseleaf Style: Current Page Only. The cursor gets to the last system of the first page, the page turn happens, the music plays normally (top staff of the second page), but the cursor is appearing on the bottom system. After a system of music, it finds its place aligning with the music again.
This happens on other documents. The glitch always takes place after a new page is displayed, and it consists in the cursor maintaining its previous vertical position, whatever that happened to be on the previous page. If the last system of page 1 was in the middle of the page, then, when page 2 is displayed, the cursor stays at the same place on the page, even if there is no actual staff there. (It just moves along on a blank part of the new page.)