Id like to add my two cents and wear a journalist's hat: A few years back. a representative of the famous Valencian food market explained the difference between paellas and the family-style rice dishes called arroces in terms of gender. Paellas, she told me, are 'virile' dishes because they were originally prepared in wide steel pans in the countryside over a fire ( the smoke) by men who gathered snails, hunted rabbits, and caught duck or fresh watereels,.then cooked them with rice until the grains were plump with flavor yet still dry and slightly firm.
"Womanly' arroces, on the other hand, she told me with a straight face are meloso or soft and creamy. They are not cooked in shallow pans over a fire, but in deeper earthenware cazuelas.
Pimenton de la Vera can do a stand in for the 'smoky" aroma you want, but not necessary if you want to keep arroces and paellas in separate camps.
I find that really interesting. Thank you.