Red rubber grease is used for the brake pistons mate. YOu could use it for the swingarm but its a bit pointless - normal lithium grease is whats normally used on bearings as its good and cheap!
As Joe says,Andy.
A light smear of redrubbergrease on the outside of the brake caliper pistons,helps keep out the water & s**t that eventually leads to seizing/sticking brake pistons, also helps piston/rubber seal interface.
Copper grease on back of brake pads(sparingly) and on any fastener that might be liable to corrode /seize-again only v. little needed.
Steering bearings, swing arm & rear suspension pivots-Lithium based grease as per Yamaha manual.