The issue here, with brakes, (and the issue raised by the enquirer) is rubber compatability.
Many, in fact probably MOST "proper lubricants" are not rubber compatible, because they have a mineral oil base, as does WD40, though it isn't a very good lubricant.
You need to use rubber compatible lubricants. These might be formulated with silicone oils or castor oil (as in the trad. "red rubber grease" originally from Castrol) and some of them have high solid lubricant content, such as PTFE or ceramics.
Anti-seize (usually with copper or aluminium solids) is often recommended BUT it usually has a mineral oil base so might attack rubber long term.