The attached reference is provided: Bolt Maintenance Methods & Materials within AccurateShooter.com
"Extreme pressure automotive axle grease will do" quote from the guy (expert/authority) who wrote this piece. I read most good stuff.
Thank you for your interest in the grease subject. My simple application was to place tiny amounts of wheel bearing grease on the back of bolt surfaces that contact lug recesses on simple manually operated bolt action rifles. The bolt lugs are simple structures having no moveable parts and as expected after each use are easily and completely cleaned before another minute application of grease. As the attached link shows putting grease on bolt gun locking lugs is a common practice.
I use wheel bearing grease because I am frugal. The grease is easily wiped off and I clean my weapons after every use - just pull the bolt and wipe off the lugs and re-lube with another tiny (1/16 inch diameter blob) - a real simple operation, routinely and almost automatically done. I also clean the bolt lug recesses in the receiver ring - I use pipe cleaners or paper towels wrapped around a bent bore brush to do that.
In addition to the common practice of applying grease to the back of locking lugs a small amount of grease is applied to the bolt cam surfaces, cocking and extraction. This greatly facilitates bolt operation, especially in rapid fire match use.
As expected grease use is an absolute no-go in trigger, sear, ejector, firing pin/spring, safety, cocking piece, bolt release, and any other part assembly. Be sure to keep grease out of the inside of bolts. I like to use graphite lube there but my M-Pro 7 oil has worked just fine even in cold temperatures. I don't use ordinary house hold oil. I have found Rem-Oil to evaporate so I don't use that.
I realize that common ordinary wheel bearing grease (AKA axle grease) is not exactly associated with sophisticated fire arms applications but I have found it satisfactory. There are probably other grease type lubricants that would be more acceptable to fire-arm use but their misuse would also be detrimental to weapon maintenance causing entrapment of abrasive debris, congealing in cold temperatures, stock damage, and unfortunately rancid odors.
I have no doubts that grease products shown in the attachment would be somewhat superior to my wheel bearing grease.
The attachment does show the use of grease to be a commonly used procedure in maintaining and operating bolt action rifles.