Welcome.
I felt I needed to set the perspective straight.
Parsis based in India have as much connection with ( or respect for ) Iranian culture than African Americans in Bronx NY have with Sierra Leone or Gabon where they originally came from. Some racial connection is there but beyond that there is absolutely nothing.
In religion, language, cuisine, and culture they are totally different. Even the Gulla language and culture so meticulously rejuvenated from a residual dialect around Charleston South Carolina is but a distant connection to its original native tongue in Sierra Leone.
Parsis are ignorant of the rich Persian heritage developed over 1400 years of Iranian influence over much of Khwarzim and old Northern India. There are significant traces of Farsi, in Kashmiri, Urdu, Pashto, Punjabi, and Baluchi. There is Persian Iranian influence in cuisine, dress, songs, music, poetry.
The Parsis have
NO connection beyond their religion which was once the religion of Iran. The Parsis in all their 1300 years presence in India never acknowledged, or recognized the contribution of the Farsi language and culture to the the subcontinent. This was adopted by Hindus, Sikhs, and of course Muslims but never by Parsis. They developed an insular subculture based on a dialect of a language (Gujarati) confined to a very narrow geographical boundary. Even the Gujarati they spoke was different from the mainstream Gujarati.
Modern Parsis do not have any more claim over modern Iranian Persian culture than West Indians have over the African Zulu culture of South Africa.
I will end my post with this delightful old Bollywood song:
زُبان یار من ترکی
Even Bollywood from time to time recognizes old India's Farsi connection.