I'd be mindful of that assumption across markets. I'm in London and while furnishing may have an impact on the list price for some properties, list price is almost always a product of the market and it's rarely possible to quantify the _cost of furnishing_. For example, apartments in my building are roughly the same price whether furnished or unfurnished. Furnishing is seen as a convenience here[1], not a financial benefit.
I do think this is a great proposition and that, once prices come down, you'll have a good opportunity in London -- just challenging the assumption that furnishing is universally reflected in price :)
[1] Typically, a furnished property is easier to tenant, so landlords can choose between furnishing (easier to find a tenant, risk of expensive damage) or unfurnished (harder to find a tenant, no risk of damage). Very common to see a furnished property offered "furnished or unfurnished" if someone wants to bring their own furniture, and that doesn't impact the price.