I believe the virus works like this, I am no expert on these things, so I am more than happy to be proven wrong.
On day one when the chink ate a batshit sandwich or whatever it was, that person was the only infected person in the world. The virus needs a supply of fresh people with no immunity to replicate and spread, on days one, two, three and so on, that was possible and the virus spread around the world very quickly.
Then everyone started social distancing and basically throttling the supply of fresh people with no immunity. This throttling affect meant that the virus could not spread as rapidly and it could on day one, two .... with the result that the rate of infection started to fall. There are still plenty of people around with no immunity for the virus to feed on, it's just that they have been hiding from it. Therefore, to my mind, the peak that you talk about being over, was a synthetic peak, a peak created by initially doing nothing (rising cases) and then doing something (lockdown), which brought the cases down.
With so many people knocking about with no immunity, people wandering around carrying the disease and mixing basins like busses, trains and tube transport, offices, parks etc, I can not see how the virus will not start to feed on the fresh meat again. It has to? Doesn't it? As far as I know, London hasn't reached a natural herd immunity peak, so I can se no other outcome to the one I have outlined.
As I say, I sincerely hope that I am wrong.