That sounds like a good idea. Do you have any photos of the kind of thing you mean? I'm finding it hard to imagine in my head. So I would just plant loads of bulbs randomly and then lay ordinary lawn turf? Then just enjoy random sprouts of flowers from May?
I'm intrigued - what kind of shape do you have in mind re the quadrant? Do you mean leaving the whole area above the patio to borders? The soil in the top right is particularly poor
Do you need a lawn? Create a meandering path and plant up the rest?