While the Bibler's have the mesh panel behind the door, some models make that removable (like the vestibule.) Given that the single layer of material both manages bulk water, vapor, and condensation. I'd still call it a "single walled" shelter.
Having sold many Bibler's in my past life, they were always commonly considered "single walled" tents, regardless of door netting.
To the contrary of the earlier posts, there are many of us that will define a double walled shelter as one where the inside material is designed to "manage" vapor transport to reduce overall condensation, leaving the outer material to manage bulk water. Mosquito netted tents lets vapor easily pass through it, but do not aid toward managing condensation whatsoever.
I believe it is especially difficult for the average consumer who may ask for a "double walled" for shoulder season/winter use (because someone told them that's what they need), and be shown a fully mosquito netted tent w/ rainfly, which may not serve them very well whatsoever. On the other hand, how is one to distinguish between a Bibler single walled tent, and a Tarptent single walled (or hybrid) tent. These types of tents are both wonderful for their intended use, but will perform quite differently do to their materials. Maybe "hybrid" is a good term for these? I don't quite know.
Furthermore, there are many authentic "double walled" tents which also have mosquito netted doors & windows (on the tent body), underneath the rain fly. Are those now to be called "triple walled" tents?
Again, I believe we all have our opinions on the matter, but since there is not agreed upon industry standard, confusion will arise, especially when folks are asking questions about particular types of tents, and receiving advice from people with differing definitions.