Ok, he did, but it was a spell, not a whole innings. The final analysis was 7-25.
https://www.espncricinfo.com/series/wes ... -scorecardI can find 12 examples of a player taking a 5-fer while conceding fewer than 10 runs. The best ever sub-10-run five-fer was a 8-7 by George Lohman in 1896. While the cheapest ever 5 wicket haul was 5-2 in 1947 by Ernie Toshack.
Amazingly, Hazlewood's isn't even the cheapest 5 wicket haul by a player in this match, as Bumrah took 5-7 last year against West Indies. It's also not the cheapest 5-fer against India (in terms of runs per wicket), as Michael Clarke somehow took 6-9 in Mumbai in 2004.
https://stats.espncricinfo.com/ci/engin ... l1=wicketsStill quite the performance though.