It looks like a Kampa gas heater.
David Hinton used one to heat water for his back packs
https://www.youtube.com/watch?v=ZgmKVt4HgM0I don't know how it worked long term. Its not meant to be in the back of a van or a similar enclosed space due to having no exhaust vent provision.
Its a very small unit - 5 kw. The specs for the Kampa say it will raise water for 30 degrees to 55 degrees at 2.5lpm.
Theoretically it should work, but in winter our water in the van is around 6 to 9 degrees. So heating water from that base by 20 degrees won't give you scolding hot water, rather just warm. By the time it gets through the hose and out to the brush head it will loose some of that temperature.
http://www.kampa.co.uk/water-heating-showers/geyser-hot-water-system-