I actually like taking the screws out but everyone has his own preference. If you do take them out, make sure you don't do your strap change over any carpet or table on top of carpet. If you have wood floors, you're fine even if you somehow manage to push the screw onto the floor.
Just make sure you have a steady hand and move the screwdriver slowly while in the air to minimize the chances of scratching the case or caseback.
Make sure when you re-insert the 2 strap lug links, that you insert them back into the holes at the same time. Don't try to insert one lug and then the other. Do it both at the same time
Cheers,
Anthony