So the shades would stay in equilibrium in a bit higher solar orbit than their velocity would permit without the light pressure.
L1 orbits do require station keeping.
Perhaps you could cheat a bit by making the shades black or oscilating/slanting them a bit forward/rearwards as to do the station keeping with very little fuel? Or shaping them like a lense to direct most light away from Earth, but not to experience too much net force?
Or they are just designed to be expendable?
You can't station-keep indefinitely anyway (your fuel will run out), so just launching lots more dumb sunshades seem like the more effective and cheaper solution.
Any sort of station keeping is going to add significant mass, complexity, and cost.
And keep in mind that, absent active station-keeping, you need a mix of many different orientations to block out the Sun throughout the year. And you're not going to perfectly remove any spin anyway.
But we're both very wrong- I read the whole paper. Some aspects are well thought out and highly technical, while others are glossed over as requirements tbd.
Briefly: He does intend to steer/ orient the discs using radiative pressure from a network of control satellites and gps-like navigation "beacons", but overlap is also required to take into account the required oblique angles and transparency of the discs.
I'm left being very impressed with the provided technical details of the disk constellation, but even more skeptical overall, mostly due to lack of detail on some major supporting elements. He offers no detail of the required deployment method, or even the scope of the required navigation and control network. He also states each disk will require a gps-like receiver, 2 cameras, some power and processing capability, and a method of communicating with said networks, all while still assuming 1g per disc and no added cost...
It's not conceptual level, so much as it's conceptual for maybe one out of dozens of required massively scaled elements.
Also, it addresses no risk management / mitigation concerns.