FYI both Pixel 6 & 6 Pro are available in Amazon India (with Prime delivery), just that they're way too expensive compared to US prices but at least you can save yourself from import headache.

However, Pixel 6 bought from U.S won't have warranty valid in India Source

Yes, the one sold on Amazon is covered by seller where if something happens with your device, you'd have to ship it to seller.

How does Pixel 6 compare to iPhone 13?

Does Pixel 6 not have the Soli sensor? Last I recall Pixels have been unavailable here since the launch of the version that came with Soli.

5 had it, 6 series doesn’t, but Google still didn’t release 6 in India 🤷

I found this article from a quick search https://economictimes.indiatimes.com/magazines/panache/google-launches-pixel-6-and-pixel-6-pro-but-dont-get-your-hopes-up-it-wont-come-to-india-heres-why/articleshow/87151042.cms?from=mdr

Google making sure people don't buy Pixels https://twitter.com/MKBHD/status/1481108783996751874