Since 5bcb0c9935, `uiLayout.template_ID()` already supports passing a label, in
which case the `uiLayout.use_property_split` would be respected. This makes the
template fit nicely with the surrounding layout, where buttons might have a
label split on the left, and a decorator button on the right.
This change brings the same to `uiLayout.template_search()`, plus makes it
respect `uiLayout.use_property_decorate`
Pull Request: https://projects.blender.org/blender/blender/pulls/127751
a3a5793a28