As Bod says, hot water at 60C-65C Cold water should be less than 20C after two minutes if tap used regularly.
Both temperatures allow legionella, and other bacteria, to be kept at bay.
Regarding the TMV's, we have had a similar problem in work where the cold temp of a morning, out of any one of about 120, is often as warm as 28C Investigations by an outside contractor, (approved and certified by the local water supplier), have so far discovered 3 TMV's that were installed back to front. i.e. the hot was fed to the cold inlet and cold to the hot inlet. Most probable cause was the valves were fitted with their markings towards the wall so weren't noticed when connecting up. The contractors also suspect we have heat transfer between pipes somewhere in the building. As this is a 4-storey building with about 300+ rooms/areas/toilets etc, there is a LOT of pipework to be systematically checked.
Both temperatures allow legionella, and other bacteria, to be kept at bay.
Regarding the TMV's, we have had a similar problem in work where the cold temp of a morning, out of any one of about 120, is often as warm as 28C Investigations by an outside contractor, (approved and certified by the local water supplier), have so far discovered 3 TMV's that were installed back to front. i.e. the hot was fed to the cold inlet and cold to the hot inlet. Most probable cause was the valves were fitted with their markings towards the wall so weren't noticed when connecting up. The contractors also suspect we have heat transfer between pipes somewhere in the building. As this is a 4-storey building with about 300+ rooms/areas/toilets etc, there is a LOT of pipework to be systematically checked.