Awful idea.
People need space and privacy, not least because some other people are so bloody badly behaved. Booking to go outside? Fuck that. It would be hard for anyone, but impossible for people with health problems etc. What if you miss your slot because you are ill?
If these architects and ministers think it is so great, I suggest that they and their family give it a test run with some random strangers and see how they get on. I guarantee they wont be able to get out of it fast enough.
Community housing initiatives vet people really well and it only works if people have the right attitude and skills are committed to cooperation.
You can't force people to get on with each by having them compete for scarce resources - that is the problem we have now.
I agree with a lot of the eco ideas and with having more communal areas and community assets, a shared workshop/craft room for example, and allotments etc, which increase feelings of abundance and choice, eg it allows people to choose not to have their own tools as well, (and have to have somewhere to store them)but there must be areas of privacy and autonomy too.
These muppets just don't understand how people tick. 
This is so upsetting and infuriating for me particularly as we are already living through lockdown/covid with no garden, while all our neighbours have one because this flat is all we could get. And with disability/illness too so its not at all easy to 'just go out'. Life is pretty fucking miserable and its hard to live with the realisation that this situation might be for life.