I have a free, easy way of checking if there is any change of the shape of constellations or event if there is a change between the relative distances of different constellations.
Measure the arc angle between the stars in the evening and morning.
Simple.
You can use a sextant, although anyone who knows how to use one will likely be a navigator, and therefore by definition a REer, OR;
Construct your own device for measuring angles. A cross Staff, there are many references to it on google, and it is easy to make at no cost to most people.
Take a long ruler or straight stick, broom handle, etc, and tape/tie/secure a smaller stick/piece of cardboard, etc at right angles to the longer stick. If this piece can move under a bit of pressure, thats OK.
Now place the longer stick end on your cheek, with the smaller piece at the far end, and sight along the stick to 2 stars in the eastern sky an hour or 2 after sunset, (best to use 2 stars that are about the same altitude, so are separated along the horizontal) and either choose 2 stars that are already at the correct angular distance apart or move the cross piece so that each one is at the end of the smaller stick.
You can later take the same observations as the stars get higher in the sky, and as they pass the zenith, then as they lower to the western horizon.
The angular distance apart will NOT VARY during the course of the night or any other night, or season.
Very low on the horizon the stars may be subject to refraction in the vertical, Which is why it is best to use stars with a horizontal displacement
This will be a perfect example to show that there is no divergence or change of shape of constellations.
Do it as many times as you like with different stars and seasons.
I challenge any FEer who wishes to be Zetetic, and actually do an experiment for free, to do this and say that there is divergence in REAL LIFE. Not camera shots, or CGI, or graphically enhanced shots. You can prove it to yourself......