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It's an Ecotec 24 - we don't use the feature though because the boiler kicks in every hour or so for a few moments to re-heat the water which seems like waste of gas for little benefit, to us anyway. Our bathroom has a massive pipe run so you don't even notice the feature when it's on. The kitchen, it's apparent when it is on, but then, it's washing up mainly, so who cares.
My other flat has a system boiler install. So you get a tiny wall mounted combi and a large tank and pump driver in the cupboard in the hall. The shower is amazing but otherwise it's overkill as the mains pressure is pretty great too. Ground floor flat.
Had a look at the 111 - not clear if you can pump from it, assuming either you can or it has it's own built in pump then that would be a great solution where a system is overkill, like it is in my other flat.
Which model Vaillant is that?
I think the idea of the Viessmann is that it presents as a standard combi - I would guess that if you demand the flow (via pump or otherwise) you get it but potentially an issue if the store runs out.