This latest report commissioned by Patrick Vallance has some scenarios around a second wave. The 120k figure is a worst case if we don't take more steps.
I think this confirms the government is expecting a second wave and is going to try to get the public to expect one too, and act accordingly. So presumably we're going to get a real mic of 'get out and spend' plus 'take care' which will feel quite stressy.
www.theguardian.com/world/2020/jul/14/action-to-stop-winter-covid-19-second-wave-in-uk-must-start-now