It carries the founder's name, Falk, which is also German for falcon. A company named for its founder is a company that signs its work, which is the same promise the product makes: nothing anonymous, everything attributable.
The naming logic mirrors the product logic. Heidi puts a name and a face on company AI because teammates have names; Falkster puts the founder's name on the company for the same reason.
The falcon is a fine mascot for the thesis, sharp eyes, wide view, precise action, but the honest answer is simpler: it is Falk's company, and it says so.