Nope, we have geckos (cicak pronounced chee-chuck) and I love them for eating mosquitoes. These kaki empats are often about 1 foot long in their body with another foot-long tail. They stomp through the yards while cicaks scurry through my house, up the walls, and across the ceilings.
No monitor lizards I know of lose their tails...perhaps these are separate type of lizard.
I’ll defer to you, though...you sound like you have more experience with the species you see there!