Some do have a problem shooting CQ both eyes open with a 1.5x scope and some don't. The Leupold 1.5-5x20 CD scope you are looking at is a very nice scope with very clear glass.
Here are some very good ones in about the same price range if you don't have to have a Leupold.
Meopta 1-4x22 K-Dot
Trijicon 1.25-4x24 TR21 scopes - The illuminated reticle can be seen in the daylight.
Trijicon has the problem in full sunlight,the illum. overburn the target,so you cant take a precision shot.
the circle dot is without illum. black and clear,and better choice as trijicon