Good question QV. The Johnson & Johnson KY in those links is the consumer packaged version which has a plastic tube or bottle. J&J hospital packaging uses a metal tube. For the most part the metal tubes collapse during dispensing and do not allow aspirated room air into the tube. Plastic tubes will retain shape memory and unless specific steps are taken to prevent air from being drawn into the container they are more likely to suffer atmospheric contamination.
The main reason I prefer J&J KY for Gyn use is that it has the best properties for that purpose. It has a low enough viscosity to remain stable during application yet liquefies almost immediately on contact with the patient. Hospital grade KY also has the least amount of bacteriostats and preservatives of any surgical lubricant making it the least likely to cause irritation. The metal tubes do have a screw-on flip-top cap which I find rather useless as the flip-top does not dispense cleanly. I developed the technique years ago to use one hand for lube (my right hand). I unscrew the cap, dispense from the tube, and screw the cap back on before returning the tube to the tray, using just one hand, so I don't need or use the flip-top feature at all.
My preferred lubricant for rectal procedures is Muko which has long been the house brand of Ingram & Bell, a large American supplier now called Source Medical. Cost is one factor, it is only half the price of J&J KY. Another is that the bottles with a flip-top cap dispense large quantities quickly which is a definite advantage due to the amount of lubricant normally used. Muko has a much higher viscosity than KY and more "staying power" than KY in my experience. During a colonoscopy I have found that multiple applications of KY are required during intubation since it breaks down quickly, whereas Muko has a high adhesiveness and one generous application at the outset is usually all that is required. However Muko has a very strong bacteriostatic agent which is quite noticeable by the odor. Although I have used it on occasion for gyn procedures and it has not caused patient irritation, I believe it has the potential to do so in some overly sensitive patients. Muko is also packaged in metal tubes, that version is a different formulation with less bacteriostats than the bottled version.
I have used SurgiLube in the past, as well a Canadian medical supply house's own make Intro-Jel. Both seemed to initially behave much the same as KY however I found that within a few second they began to separate into water and a thick gummy residue. Both are popular however I am not partial to either of them. The worst I have ever encountered is H-R Surgical lubricant, fortunately it is not that common but I would suggest it is tap water in a tube since it breaks down within seconds.
One thing I will mention about AstroGlide is that is outright dangerous in an exam room with a tiled floor. A little goes a long way and if any is spilled the chance of a serious fall for either doctor or patient is a very real possibility.