I would not put it where there is sunlight as many woods darken with exposure to sunlight, and you'll see lighter spots where the cues rest.
Not just the woods, but the other materials as well, like butt cap materials and joint collar materials as well as the finish itself, especially older types of finishes. Newer automotive type finishes are much more resistant but if one thinks they are totally resistant one is in for some disappointment.
This is why I recommend display cases use UV blocking glass. If you have a display case with plain glass a UV blocking film can easily be applied, it's available in rolls.
Long term display of valuable cues with no UV protection at all seems frivolous to me.
Being into older and antique cues makes me especially conscious of this matter.
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