The border treatment gives the mark a confident, badge-like silhouette; I’d test it at tiny label sizes next, but the core shape is already very memorable.

I definitely prefer Option 2 (with the border)! As an architect, I love how the border successfully frames and defines the negative space around the logo, giving it a solid structural boundary and better containment

Option 2 feels clean and strong. The border gives the F a nice shape.

option 1