To answer my own question I think not. But there are a few similarities between the gowns and hairstyles of these 70s princesses, and I wrote a short article on my blog about this: https://thevintagetoyadvertiser.org/2017/07/13/princess-leia-vs-princess-anne/

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Paul F,
thevintagetoyadvertiser.org 1970s and 80s vintage toy ads and other retro paperworks
imperialgunnery.com Vintage Star Wars action figure weapons and accessories guide