The commercial food equipment that the problems were noted on are not hot and it happens on the simplest mechanical parts (slide rails on mixers, indexing mechanism on slicers etc...), it's the nature of veg based oils when they dry to become very gummy due to their organic make up and this builds up layers that resemble tar, this tar evens builds up on non-moving parts which is a clear indicator that it's being used. The areas people apply this are almost always shielded due to mechanical parts which prevents sanitizing agents access to them during normal cleaning, also most table based equipment are cleaned with light soapy water and a rag then sanitized with a chem based solution so no heat is involved at all. Any brand of mineral oil works fine as they all share the same basic properties and can be purchased cheaply at most pharmacys and grocery stores, this is preferable to petroleum based lubes that can break down plastics and are mostly toxic.
I respect your questions and hope I've clarified my reasons a little better, I'd hate for someone to ruin something when it can easily be prevented but to each their own.
Oh silicone based oils also work great.
Ed