Leo Fender could have protected the body design just like he did with the headstock, but he didn't. Pursuing this now, especially against a small maker, feels hostile and could backfire on them. I hope it does.
Leo also copied his own designs later on after he sold Fender and started other guitar companies. For example the G&L ASAT looks pretty much exactly like a Fender Telecaster.
G&L is no more as of last year. Fender acquired the Leo Fender name and potentially a whole host of other IP from the now defunct company, which may or may not include guitar designs like the ASAT (itself based on the Telecaster) among others.