haute for teacher

in this day and age of fashionistas and foodies, is it coincedence that haute preceeds couture and cuisine? is it the chicken before the bespoke balenciaga shift gown?

haute   /oʊt/ Show Spelled [oht]
–adjective
1. high-class or high-toned; fancy: an haute restaurant that attracts a monied crowd.
2. high; elevated; upper.
Also, haut /oʊ; especially before a vowel oʊt/ Show Spelled
[oh; especially before a vowel oht]
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Origin:
1780–90; generalized from haute couture, haute cuisine, etc.; < F, fem. of haut lit., high; see haughty