Yes it would work with a dome. However, if you drew it flat, it will only look right when you point close to straight into the center of it.

To help prevent this problem, flatten the dome before you apply the perspective UV. This will make the scene "wrap" a little better. Not perfect, but better.

Here is what happens when you don't flatten it first. See how the stars at the edge are smeared and stretched.

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Renderosity forum reply notifications are wonky. If I read a follow-up in a thread, but I don't myself reply, then notifications no longer happen AT ALL on that thread. So if I seem to be ignoring a question, that's why. (Updated September 23, 2019)