Does that really matter without air resistance?
Depending on how high you actually bring it. Like 500km away from earth is still an orbit (I think that's Hubble's orbit) but how much force do you need or will happen?
The less Gs you need to design a component for, the lighter/simpler it can be, so why unfurl early and add that extra mass and complexity to the design?
Otherwise it would just take longer.
And to answer your question in the other response, many thrusters have a minimum thrust, and even that minimum may be too much for the parts when deployed.
As an extreme example, imagine a stick one lightyear in length: if we ignite a rocket on one end, firing perpendicular to the stick's length, then the other end cannot start moving for at least a year.
A broken JWT could wait a few years in orbit.
So what you're saying is, this could easily be funded by some billionaire, e.g. Jeff Bezos who already sells billions of dollars in Amazon stock per year to fund Blue Origin?
Not saying this should be done privately, but if funding is the problem, that problem can be solved.
Space travel is less expensive than most people think, it just isn't very high up on our list of priorities.
Looks like a reasonable repair cost (and only if) it turns out to be broken.