Let's take a look at some specs...
Otteson, The Bolt Action Rifle, Vol. 1, pg. 138,
Rem. 700,short action, post 1968):
Lock Time: 2.6 ms
Firing pin fall,to impact): 0.213 in.
Impact velocity: 15.2 ft./sec.
Impact energy: 87.2 in.-oz.
Impulse: .96 oz. sec.
Unfortunately, Otteson didn't specify the weight of the firing pin on the 700. Impact energy and impulse, by the way are important to proper ignition, but often overlooked in the overemphasized quest for fast lock time. All modern rifles have darn good lock times and improvements are nearly meaningless - except as they reduce energy and impulse and thus reduce ignition reliability.
As we move on to the Panda, we run into a brick wall, because Otteson covered that action in his later book Benchrest Actions & Triggers, and the level of detail provided on the basic action functions is greatly reduced.
Lock Time: 2.7 ms
Firing pin fall,to impact): 0.24 in.
Beyond those scant figures, we are told: 'The firing pin assembly follows a Remington pattern except for a smaller diameter striker tip, which allows better primer support.' Indeed, the closeness of the figures indicates a great similarity in the underlying mechanism. Let's bear in mind however, that while the Remington probably hasn't changed in the 30+ years since the review, the Panda may have evolved a bit, so let's not assume these specifications necessarily remain valid for current production Pandas.
I don't have a Remington firing pin to weigh, other than the one in my 40X. If you want to take your Panda apart and weigh the firing pin with the cocking piece and separately weigh the spring,1/2 the weight of the spring should be considered in the weight of the striker) then I will do the same with the Remington.
For the benefit of others, I will say that primer seating is the primary area to examine in these situations and only after it has been determined that you are doing it correctly should your attention turn to the firing mechanism. The primer should bottom in the cup and then a slight additional forward movement, which gives a small degree of pre-compression to the pellet, should be felt. I have never been able to get this degree of 'feel' from a press mounted priming tool. I use the Sinclair tool, but the K&M tool is equally good; the RCBS hand tool will do, although its heavy spring reduces feel to a certain degree.
One last thing - you asked if it might be a fluke, a bad primer or two in the lot. Generally speaking, no. Modern primer manufacture in the US and abroad and especially in the Murom plant where the Wolf primers are made, is held to such a close standard that the possibility of a bad primer is infinitesimal, the odds of more than one are essentially zero. When misfires are experienced, the primer is generally the last place to look for the cause. I'm not suggesting it is impossible to have a bad primer, simply that the probability of that is exceedingly low.
That the primer would not fire with repeated hits is normal. Once a primer has been struck, the pellet is complressed to a degree. If the impact energy and impulse were insufficient to ignite, there is not enough compression distance remaining in the primer,between the cup and anvil) to ensure ignition on a subsequent strike. In some cases it might, but it shouldn't be counted on.