Encourage A4 to page break before a tune. This enourages page breaks to happen before tune start, and not between the tune image and any following wording. Also move the vfill to the tune start. That way, if the break does not happen, the vfill will, and the following tune will be spaced down to the bottom of the page if it's the only other tune on the page. Otherwise everything tends to clump at the top of the page.

--- a/docsetup.A4.tex	Tue Aug 06 23:29:51 2019 +0100
+++ b/docsetup.A4.tex	Wed Aug 07 00:01:44 2019 +0100
@@ -38,5 +38,5 @@
 
 % Page appearance.
 \newcommand*{\pagestylemod}{}
-\newcommand*{\tunestart}{}
-\newcommand*{\tuneend}{\vfill}
+\newcommand*{\tunestart}{\filbreak\vfill}
+\newcommand*{\tuneend}{}