Your primer is just fine. You do have to understand the purpose of primer. It is made to dry fast, seal the surface, and provide a rough, VS smooth/gloss surface for your finish paint coat to adhere to well.
Reason I stated all this is your question,,,,
Would it clean well?
It all depends how clean you expect things to be. If you needed things to be clean "like new" then a GLOSS finish would be a choice, as it would wipe easier than a flat type surface. That is why peeps use gloss paint (or semi-gloss) on their kitchen wall, because easier to wash clean.
I think for your coop, the primer will do a satisfactory job. In not very long time,, your coop will get soiled, and it will not bother you. Welcome to chicken keeping. It is a chicken coop, and not your living room where you entertain guests.
WISHING YOU BEST,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, and
