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The big surge current spike causes something called "voltage droop" or "IR drop".  The graph below illustrates the behavior of voltage droop.  You can see where the red line droops down below it's normal 12V DC level.

Typically voltage droop is very bad in a system, it can cause problems in the case of supplying voltage to an AC inverter.  The AC inverter has a built in protection circuit that turns the inverter off if it sees a voltage less then 11V DC.  So if you have  TV hooked up to the inverter that has a big inrush current spike, the voltage will droop and the inverter will turn itself off by going into protection mode.