My understanding is that new Lithium-Ion batteries can be dangerous because of some of the circutry surrounding them. To put it simply you do something wrong and they will start on fire or even explode. In that context, I have heard it said that connecting the wrong power supply is dangerous, there are sophisticated electronics controlling the charging/power based on battery charge and present power draw, and that power supplies will even stop drawing "wall poer" if the battery is charged and the laptop is off.
In olden days, if I had a power supply that supplied the same "tip polarity" ( also the same jack of course ), the same voltage, and at least the same amperage, everything was OK. Is that still the case, or do power supplies have to be paired with laptops?