The charging system regulates how fast the batteries charge by adjusting the voltage. Should not matter which cells you put in as you dont even have all the parts of the equation that dictates charge and discharge rate. One key thing is missing, the C ratings.
Both the Samsung and Panasonic have a 2C rating so the max of the two would charge and discharge at a maximum of 6.7 amps. Check your specs on the OEM and brick to see if thats out of line, my bet is its not. I would be more worried about having exemplary soldering skills as there are a ton of wires with one for every cell as they are individually charged (balanced)
“Two things are infinite: the universe and human stupidity, I'm not sure about the former” ~ Albert Einstein