My #1 priority was a east to east-southeast lanai.
In summer the lanai-sunroom is much cooler with only the early morning sun and in winter the sun moves farther south and warms the back of the house early in the day. Check your house or lot for trees or houses that may block the sun. Fading of fabrics is also a problem.
Shades are great (was in the business myself) but if opaque will spoil your view. Try outdoor movable solar screen as an alternative.
I gladly trade half an hour of sunset for avoiding 4 or 5 hours of roasting summer sun.
When we were house hunting it seemed most of the houses had west rear exposures. Just a limited observation.
