QR flies from US to DOH over mainland Europe, avoiding Russian airspace. It's clearly an operational shortcoming on AA's part moreso than the added time by having to avoid the shorter routing.
DOH is a lot further west than DEL. JFK-DOH shouldn't ever touch Russian airspace normally. LAX-DOH would to some degree, but significantly less than JFK-DEL.
A more even comparison is UA82 (EWR-DEL). How is that one doing?