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"Is there any inherent advantage of a cocking lever with a fixed barrel over a hinged barrel like the Gamo has?"

Well, if accuracy is what you are looking for, breaking the barrel open and closing it would not seem to be the best idea going. Intentionally changing the line of site and point of aim every shot, then lining it back up. That being said many of the manufactures have figured it out. The Beeman R7 at 10 meters will put 'em in the same hole once you find the pellet the gun likes best. When you buy a more affordable rifle this is one area where quality may suffer and contribute to opening up of shot patterns.
My boys and I shoot an animal silhouette target. pretty intense competition... Bench resting with a 4 x 12 scope at 10 meters. I have not resorted to weighing my pellets to the nearest 10th of a grain yet... if I start losing I'll do it. You bet!

AM,
I spent alot of time researching air rifles. I have a Beeman R7. Love it. Very accurate. Easy to cock. Limited range though.
If I were going to get a full power rifle it would be a Beeman HW97 or an Air arms TX200. Under lever design is nice. Keeps the barrel fixed.
Crossman,Gamo, no. I feel like you are looking for "Firearm" quality... no need to look here.
Watch the fps... at 1300-1400 they sound the same as a .22.

These people always treat me right - http://www.straightshooters.com/air-arms-guns.html" onclick="window.open(this.href);return false;

One Nice thing about air rifles, you can shoot indoors. Make a trap using electricians duct seal to stop and catch the lead. You only need about a 1 1/4" thick layer. Even when you stack pellets, no richochets. And no noise...
I did a test once, 100 shots through the same hole. The lead never penetrated the putty. Just kept bonding to each other.
If you take the plunge, pm me and I will send some pics of my trap design.