Yes 2a4all, I was at LGC 50yd Saturday and the range officer told us that it was a local ordinance rather than a simple agreement between York County and LGC. I was surprised.
The sign-in for each range requires you sign in for each gun/caliber that you are going to shoot. It does not necessarily reflect ownership since t33j was there trying out one of my guns.
LGC admin told me (during orientation) that the agreement was made between York County and LGC after a wayward round landed on someones roof. At the time they had no logging of caliber and no way to trace who might be responsible. For this purpose I see no reason to log what model of gun other than maybe pistol vs rifle or barrel length. That info would help determine which shooter had a gun that could reach the range of wherever a future wayward round would land.
So if we/VCDL/LGC plan to lobby against the wording of the ordinance I would support a change to caliber and barrel length rather than model.