Forgive me being stupid, but why should anyone want to take off the axle plate, unless they are changing from internal to external switching? If your Rohloff box already has the more desirable external klickbox, there seems to me zero reason for taking off the plate, except by Rohloff themselves if you should ever have occasion to return the gearbox to them for them to work their magic. Rohloff are clear the people best equipped to deal with removing the screws.
I don't see anywhere in the manual where it says, "Take the screws in the axle plate out every so often and grease them." On the contrary, the Rohloff is sold as an ultra-low maintenance gearbox, and the only service the user should perform is changing the oil in the gearbox, and adding a little grease to the cable guides (internal switching) or the klickbox pulley (external switching).
If it ain't broke, don't fix it.
***
I'll admit though that, when I first heard about these screws corroding in, I was hot to trot, and bought some Witte (best German quality) T20 bits. But on second thoughts all I did was check that the screws are torqued in right. BBB sells a torque wrench in a box with some bits (not including T20 or 2.5mm or 2.0mm Allen, which are also required) which goes down to 2Nm. Cyclo sells exactly the same thing cheaper, if you can find one.
***
All of that said, I agree with the OP. Those mangled screw head would bother me too. Get Rohloff in Perth to fix it. Whatever they charge will be less than the pain every time you look at those screw heads.
Good luck and good riding.
Andre Jute
Wish I were back in Adelaide!