Might be worth doing some "sums" as to whether a cheap overnight tariff, which would only provide 4 hours charging, changes the sums at all? 4 hour overnight rate 1/4 of day rate ... if you are charging from 13AMP I think it likely that at times you will be charging at peak rate. Dunno if that provides enough saving to offset against a wall charger (for low mileage that's clearly not essential, but it is convenient when you have back-to-back days when you want to do 200+ miles each day.
We have solar also during the summer which should provide enough another 3-4 hours or so per day, which means that in theory it will be possible to go from 20 to 80% charge in 3-4 days. We rarely use the car to go more than 5-10 miles during the week, so in most cases I think it will work. But, as you say it's the convenience of having a 7kw charger for the odd occasion that may swing it. Even then, though, I think we'd probably use the other UMC charger when visiting family or on holiday, at least in the short term. So fingers crossed Tesla honour their promise it will be included.