Scrim refers to the fabric mesh inside the vinyl to make it stronger. Temporary banners can be printed on non-scrim material but they fall apart much faster.
I just saw you mentioned you want air to flow through the material. That is called mesh banner and it comes with different options about how much air flows through. Be prepared to have a really dirty printer if you don't have some sort of mesh banner attachment on the printer. I would recommend finding the mesh banner with a liner so you don't have to worry about that issue.