Many of the "road side assistance" devices draw more than 10 Amps.
If you can, you may want to see about bumping the current rating of your APO ( Auxillary Power Outlet ) to 20 Amps if you can.
Another option ( easier to do on some cars ) is to install an APO in the trunk on a 90 degree bracket. Makes working on the car by the side of the road a lot nicer and the APO in the trunk allows for lights to be used in the trunk without 20 feet of wire.
Just my $0.02 worth.