I wanted to verify my understanding of the Earth with my own experiment and not use input from other people. This post is not intended to change anybody's mind. Someone else can do this same experiment and make their own conclusions. I need to make a definition of "viewing size". I am defining viewing size as the apparent size of an object as seen. An object that does not change its size will have a smaller viewing size as it moves away and becomes distant.
My question is: "Do star constellations change their viewing size as they come from the horizon and pass over head?
I selected a pair stars that rose from the north east at 6:45PM. I looked at the stars through a cardboard tube. I could not see both stars at once because the tube was too long and narrow. I kept shortening the tube to the point where I could see both stars at once. I even rotated the tube to verify that it was round and gave consistent results. At 8:45 PM the stars were higher in the sky but still just fit in my tube sight. At midnight when they were straight up I still got the same results. My conclusion is that that pair of stars kept their same viewing size throughout the night.
If you use more sophisticated equipment (sighting telescope with az/el mount with measuring circles, theodolite, spotting scope with reticle, etc.) you can repeatedly perform measurements of extremely high accuracy over many nights with the constellations in many different locations and orientations. Don't just rely on one set of measurements. Perform the measurements for many pair of stars over many nights and many months (even a full year).
Do it yourself without anyone else telling you what the results should be or what conclusion to draw.
After you have made these measurements, you should have an answer to your question.