Are the shops and duty-free at Heathrow and Doha airports currently open or closed?

Recent travelers have confirmed that both Heathrow and Doha airports have their shops and duty-free areas open. A user noted that while passing through Doha at the end of November, the shops were operational. Someone working at Heathrow's Terminal 5 mentioned that the duty-free there is functioning as normal. Another user also confirmed that Heathrow is open, and further comments indicated that shops were accessible in Doha around 10 days ago.