I guess after being hit, you disregard the pain and keep going, also adrenaline and norepinephrine kicks in masking the pain.
Yes, for those who have experienced it. For those who haven;t, panic often sets in and their recovery time is too slow.
Also worth remembering is that the bad guy also has adrenaline & such pumping thru his system.
You mentioned Pekita Tirsia. Most of this video is exactly the problem I see with most training. It's a good start, but notice there is NO true sparring (although the firearm use at the end demonstrates that at least they are well-rounded). Lacking application that is extremely close to the edge does potential damage because one can't see what certain concepts, footwork, techniques, and the like truly net.
http://www.youtube.com/watch?v=ujN0-edyLs0By contrast, despite certain critiques of their focus on sticks (hey, it's still based on Pekiti Tirsia, so what would we expect?), these guys get attributes training (speed, distance, timing, etc.) like few others can boast. Due to that, they are able to weed out that which has no practical value and build on what is immediately effective.
http://www.youtube.com/watch?v=K0Zuj5jdY-kI might add that the Dog Brothers also delved deeply into BJJ via the Machado Brothers as well as other systems (Muay Thai, Bando, etc.).
There are examples that one could give from systems other than Pekiti Tirsia (or other FMA), of course. Both eastern (systems from Asia, India, etc.) & western (boxing, pancrase, wrestling, fencing, etc.) forms have their traditionalists as well as those smaller groups interested almost totally in real-world application.
If your interest is real-world application, my advice is to seek them out. If their sparring has lots of rules, lots of protection, and only happens rarely, that's not a good sign. If, on the other hand, they utilize light sparring, heavy sparring, isolation drills, and the like to a high degree, then that's a very good sign.