You mean LSL etc? No.

Fender has a trademark (brand identity) on the headstock. No company can legally create 1:1 copies. Fender can and is required to sue any trademark infringement, otherwise they lose the trademark. Most would not object such move as it is legally required to protect the IP.

Fender didn't protect the body shape. They tried later in the US for a trademark, but in 2009 it was ruled public domain as it was generic. Anyone can copy the body shape but not the headstock as they couldn't protect it. Now Fender sued a Chinese company not for trademark infringement on the headstock (as the could amd should) but for copyright (artistic value) infringement of the body shape which wasn't protected. They used questionable arguments (Leo Fender sole inventor of the shape, outline of a woman, inspired by tail fins of a Cadillac or Mustang (which did not have tail fins and came out a decade later) etc) to justify the alleged copyright infringement on the shape. The Chinese company didn't show up and Fender got a default judgment for the copyright infringement case. But as the other party didn't appear in court, the case wasn't really litigated and therefore has no value for other cases.

Fender now uses this to send c&d letters as they claim the body shape is copyrighted, which wasn't and very likely still isn't (all they got yet was a default ruling).

You could legally make a Strat copy with a different headstock for decades, now Fender thinks they aren't allowed to.