I've had long term stays in hotels during covid and beyond until recently when I signed up a lease. Although never in the NT but I would check Dorsett if they would have a monthly plan for their TW property (I've stayed with Rosedale CWB, Dorsett WC, and Cosmo WC priced between 7.5k - 13k for single occupancy).
All the properties I stayed at were pretty comfy for a single person to just rest after a days work. The cleaning service is still once a week, you just get water (some hotels have a water fountain on each floor to refill), if there is a typhoon they'd offer you meals else you can do food deliveries at the reception. Some hotels also let you use their gym.
I liked Dorsett WC given I had the full view of the race course from my room and they really had a well maintained gym. I was month to month for about 3 months (they don't do contracts),