It's not a skin color question, it's a question of other cultural elements. For example: My Indian & Chinese friends & family enjoy having a deep community of friends, restaurants, heritage events, bilingual schools, etc. The school matter is particularly acute; virtually every community on the SF peninsula has Mandarin immersion programs. In San Jose, Asians are 38.1% of the population versus 8.4% in Austin.
These considerations are amplified for smaller cultural niches - e.g. Afghani, Vietnamese, Korean, French, etc. I'm sure Austin ranks high in (tech-weighted) diversity compared to other cities in Texas, but it probably doesn't hold a candle to SFBA & NYC.
(Note: Plenty to love about Austin. There are no silver bullets.)