That is precisely the reason that I previously suggested wrapping masking tape above the blade to act as a centralizer for the screwdriver shaft in the hole. The blade then cannot get between the bolt head and the wood. No flashlight is necessary. The long screwdriver I use for this purpose has roughly a quarter inch , or slightly more, square shaft that it could be turned by a crescent wrench for additional turning torque if necessary. I do not remember ever needing to do that. Insofar as I am concerned, that is the only way to go. Unless there is some special tool I know nothing about.
My through-bolt screw driver is a 12" length of 5/8d drill rod.
I milled one end to a screw driver blade bit so it's nice and square, has a hollow ground fit.
I had orig made one with a diff size blade on either end. But found I never needed one of the ends.
The other end has a hole thru it so I can slide whatever small shank dia screwdriver or punch that happens to be lying on the bench.
The large dia of the drill rod keeps it centered, the 'drive' end with the screwdriver leverage is more than enough to unbolt and then secure anything I've needed.
I didn't mention it before as it takes some time and effort to make a screwdriver bit on the end of a piece of 5/8d drill rod, especially by hand filing. Not every one has a piece of drill rod lying around the house that'd be worth of the time spent to make one.
But if you use one often as I do, it's worth the time to make one up
Careful use of the narrow shank screwdriver will get you there and has been done countless 1000's of times since forever.
Just a little care in use that's all.
That's all I used for many yrs and never damaged anything. But some of them were stubborn and tough to get lined up right. The narrow width blade not offering much power to unscrew some of the older stuff that's never been apart.
No need to over think these things.
Lot's of good ideas here.
The newer guns with a Hex head bolt are easy.
I actually never had come up against one till a couple yrs ago! 'Modern' stuff I don't work on as a rule.
I took a friends modern O/U to check over for a misfiring issue and the first thing I needed was a very long socket extension & a metric socket.
I had the 14mm socket but I don't think I have ever used it in the past. I know I haven't since then! Had to go out and buy the extension.