The carbide on sizing dies is a very hard, slick/smooth material, and intended to replace lubing cases. A small amount of case lube helps but is far from necessary (and I can't remember any manufacturers recommending lube either). Crimping dies are (mostly) just steel to brass, minimal contact with just a few thousandths of an inch contact. Doubtful if lubing the case would make the operation any easier or preserve the die "life" at all. I got my first Profile Crimp Die from Redding in about 1990 and this is the first time I've heard of lubing for crimping. Perhaps the OP misread and saw a hint to lube a sizing die...
FWIW; a "bad" idea for lubing a metal to metal contact is on threads. The torque can vary greatly when tightening a nut or bolt. In some applications torque is specified for a clean no oil, or plated, and dry, or a dry, clean bolt/nut and may be different for each type of fastener...
But just an old guy's wandering mind...