Another word of differentiation:
Tips of similar hardness, but from different manufacturers, hold chalk with very dissimilar effectiveness and also grip upon cueball contact differently.
To me, it seems that, for lack of a better description, the porosity of the Moori tip is like a match made in Heaven for the blue-colored Master Chalk (different chalk manufacturers is a different item). I have found that only a SINGLE, thin layer of chalk needs to be applied to the Moori tip, while every other tip I have played with required CONSTANT and AGGRESSIVE attention with the chalk.
As far as tip hardness is concerned, the Mueller Hardness Index rates the Everest at 75.1 and the Moori III Med. at 74.2. On Mueller's hardness scale, this is nearly identical, both are near the TOP side of the scale (66-76) for medium hardness.
These tips rate at very nearly the same hardness as Tsunami Med (75.8), Stratos Med (75.5), Talisman Water Buffalo Med (74.7), and the Tiger Laminated Med (74.5). Tiger is also the maker of the Everest tip. I can't find any such ratings for the Kamui tip, yet.
So, anyway, while it may appear that the Everest and Moori III Med are appreciably the same hardness, there IS a great deal of difference in their play. I have had fewer miscue problems with the Moori Med than any other tip I have ever used -- and, I hae tried MANY of them out on different cues I own. The Moori just seems to grip the ball better than any tip I have used.
I have also heard many stories of those who have used either the Everest (which, by the way, is a very good tip!) or another favorite, the Hercules, switching to the Talisman, Moori or Sniper. For a little while, the Talisman seemed to break down in about the 3rd layer from the ferrule -- I believe this has long since been corrected (Tony at Talisman stands firmly behind ALL of his products). The Talisman is a GREAT tip -- however, those who have made the switch to either Moori or Sniper NOW REFUSE TO CHANGE!
If you DO change to the Moori Med, you will be surprised at the difference. Is the Moori a better tip than the Everest? I believe they are manufactured equally to the exact same level of excellence. But you WILL notice the difference with the chalk AND the cueball grip. The adjustment will not be difficult.
But, in the end, whether or not you like this tip better will be a matter of personal judgement/preference, just like someone else has already mentioned. Either spend the $30 to have someone put this tip on your cue to try out, or find someone else who has a Moori Med on their cue and will let you play with it for a couple of hours. Since you say you don't like the way the Everest makes you "work" to get side-spin, you DO need a change -- and you DID get a good recommendation from the guy watching you play.