Strategies will be determined by tyres and more specifically by wear and grip level.
A car that's more aggressive will chew more than a car that isn't so strategies will focus on maximizing tyre usage.
One has to consider that there will be some excitement in that the teams' choice to stop will be determined by the condition of the current set of tyres.
One team may choose to run softs to gain a speed advantage before pitting for a new set, while another may try to make their's last longer and wait out for the the pit stops.
The problems will come from safety cars that should you be the first to stop for a fresh set of tyres, you will have the optimal pace once the restart occurs and those in front will have to stop or gamble loosing all grip. Depending on when it happens, you may even choose to slow your pace and not stop for a set at all after your first initial stop.
It should be at least somewhat interesting.
Any ideas on other possibilities and or implications of the rule?