Most shooters use scope rings much higher than they need - I've probably mounted over 100 scopes in the last two years and I have yet to see a bolt action that needed more than a LOW height ring with a scope having an objective 44mm and less - most 50 mm scopes did fine with MEDIUM or (INTERMEDIATE height as some brands call it) - it does not matter if you have a 1-inch or a 30mm scope tube as the manufacturers measure ring height from the bottom of the ring diameter. There does need to consideration when using scopes with larger eyepieces such as the Weaver Grand Slam series to ensure you have clearance for bolt travel and for bolt-sleeve mounted, swing-safeties such as you see on Mausers and Winchester Model 70's.
What a lot of shooters fail to realize is that the further away (higher) that the shooter's line of sight is from the actual bore line, the greater the induced error when their rifle is not exactly vertically aligned - in other words, if you cant the rifle to one side or the other, your error will be greater the higher your scope is above the rifle barrel. Might not matter at 150 yards but sure will at 500.
Lastly, I've seen some rifles with such high rings, that the shooters had to lift their faces off the stock to align their eye with the scopes. Now that's just damned ridiculous! Just my thoughts for what it's worth.