No no no...
I did a little research, but information is scarace on the CAT signs.
First of all, CAT I/II/III are categories for ILS approaches:
Category I: aircraft may continue a controlled approach to the runway down to a DH of no less than 200 feet (or 60m) above ground. Other minima like horizontal visibility and visibility along the length of the runway also apply – at least a half a mile (0.8km) horizontal visibility or a Runway Visual Range of 2600 feet (800m).
Category II: aircraft may continue approaches to the runway down to a DH of 100 feet (30m) above ground, and conditions must allow for a Runway Visual Range (RVR) of only 1200 feet (360m). Category II minima also requires the certification of the operator, the pilots, the aircraft, and the airport, by the national authority.
Category III: as you may have already guessed, Category III is essential a ‘blind’ approach flown ‘hands-off’ all the way to touchdown. Of course, Category III has even stricter requirements for the operator, pilots, aircraft, and airport. The minima for Category III are a DH of 50 feet (15m) and visibility of 1/8 of a mile (200m).
Now, about the CAT signs. They are actually Hold Short signs, suplementing the hold short line. So, for example, if there is a plane performing a CAT II approach, you should hold short at the CAT II sign. So the ideea is to give more space in accordance with the precision of the ILS category.
I somehow doubt that there are 3 hold short signs at each rwy (approved for all three CATs let's say), there is probably just one CAT II/III like in this
picture