EC is a bit unique in its susceptibility to chemical properties of the atom, especially for light elements like Beryllium, to the point that ionization can be used to extend the half life by reducing the number of electrons available for capture, up to the extreme of (for isotopes with insufficient decay energy for positron emission) shutting off the decay entirely with full ionization. Beryllium is so light that even non-ionization-related electron availability can have measurable impacts on Beryllium-7's half life, such as depending on whether the sample is surrounded by an electrically conductive or insulating material, but IIRC the difference there is a ~1% change. 7BeF2 probably has a longer half-life than 7BeF, because of the strongly ionic nature of F bonds - F really likes to be F-.
Following the capture, you're left with 7LiF unless the capture imparts enough energy to dislodge the LiF bond, in which case the bond may form again rather quickly unless you can get the Li atom very far away very quickly. EC usually involves an inner electron, so direct radiolysis of the BeF bond by capturing the electron bonded to the fluorine atom is less likely, the way I understand it, so even if the Li atom is pushed away, I suspect it's likely Li+, and the F atom is F-, adding to the molecular-scale attractive forces.
I know it was just an illustrative simplification, but what's probably most impressive here is the isolation of large quantities of BeF without the formation of BeF2. A better diatomic example would have probably been Beryllium Oxide, BeO.