That is indeed true, but intermarriage wasn't such an issue in Early Islam, many of the Shia Imams had non-Arab wives including Imam Hossein who married Shahrbanu (most likely a Sindhi rather than a Sasanian Persian princess).
It's really underrated how the Islamic expansion set off a "mini-globalization".
I'm even seeing in the Iraq project on FTDNA for example people with surnames like Al-Hindi or Al-Hendawi with paternal H haplogroups.