Yes, access can be affected by another animal's presence even without an obvious fight. Another animal lying across the route, a cat watching the entrance or frequent approaches during rest may make the bed less useful. Observe the surrounding space as well as the bed itself. Provide alternative resting locations with clear routes in and out, and avoid placing all beds together where one animal can control the whole area. An enclosed design with a single doorway should be assessed carefully in that context. Do not assume a larger shared bed resolves the problem. Each animal needs appropriate choices and the ability to rest without unwanted interaction. If the pattern continues or there are signs of distress, seek advice about the household relationship rather than treating it only as a product-selection issue. Furniture can improve access, but it cannot guarantee harmony.
Look at entrances and routes as well as the sleeping cushion. A bed may remain empty because another animal regularly occupies the only approach, even if it never enters the bed itself.
For product comparisons alongside this advice, see Velvet Nest and Silver Velvet Nest. The details below explain their sizes and uses.
Further reading: cats.org.uk.
Velvet Nest
Silver Velvet Nest
AeroMat Chill Pad