I have installed these and while I haven't used the classic white, I have used the brilliant white and have found it to be a fairly robust material and the build quality to be excellent. For the difference in price, I view the Criterion as a better choice overall - the frame is just a lot more stable and the beveled edge enhances the look of the screen as well as provides less chance for shadowing.
Bottom line, the difference in price between the Precision and Criterion screens is all about the frame cost and design change and the price difference is 'fair'. If it were a lot more expensive, then it wouldn't be cool and if it were much cheaper, then it would likely need to compromise build quality... or just be called one heck of a bargain.
As for the screens themselves: For the money, there is nothing out there that I would consider better for your money. You get a build quality that is similar to Stewart for a price that is far less than DaLite or Draper... That sounds EXACTLY like a great deal to me. There are do-it-yourself techniques that are very good as well, but I think my money would go towards a nice Criterion brilliant white screen most days of the week.