Changes to --printf-directory handling in Make 4.4

Hi,

A makefile of mine was broken by Make 4.4 and I'm wondering if that's expected.

Consider this silly Makefile:

foo:
    $(MAKE) $(shell $(MAKE) bar)

bar:
    @echo baz

baz:
    @echo BAZ

.PHONY: foo bar baz


With Make 4.3 if I run 'make' then I get this output:

make baz
make[1]: Entering directory '/tmp/make'
BAZ
make[1]: Leaving directory '/tmp/make'


With Make 4.4 I get an error:

make make[1]: Entering directory '/tmp/make' baz make[1]: Leaving
directory '/tmp/make'
make[1]: Entering directory '/tmp/make'
make[1]: *** No rule to make target 'make[1]:'.  Stop.
make[1]: Leaving directory '/tmp/make'
make: *** [Makefile:2: foo] Error 2

This left me puzzled for a while, but what's happening is that the output of
$(shell $(MAKE) bar)
now includes the --print-directory output, so where the recipe for
'foo' used to do simply `make baz` now it is `make make[1] Entering
directory etc.`

Is this an intended consequence of the changes to --print-directory
handling in 4.4?

I can restore the old behaviour of my makefile by adding -s to the
make command invoked using $(shell), is that the expected way to fix
this problem?

Thanks for any insight.