Hey houtari,

Yes, it does suggest this for buildings. However, it could become ambiguous which aspect is disused. Another mapper may think the museum is disused, as this is a non-physical tag, and change it to disused:tourism=museum .. as to avoid this it may be better to, as recommended otherwise, only add the lifecycle tag to the part which is no longer relevant - in this case, the milk churn stand.
https://wiki.openstreetmap.org/wiki/Lifecycle_prefix#How_to_tag

Regardless, as data user, you should use both disused:*=* and disused=* in your queries, as both of these tags are in use to describe something being disused. There may still be outdated tagging, exceptions or accidental mistagging.
https://wiki.openstreetmap.org/wiki/Key:disused:*#Former_use_(as_a_simple_tag)
(ignoring for a moment that milk churn stand is a relatively recent tag.)