Exactly.
I'll add that a dedicated circuit ensures that a load of laundry isn't running on the same circuit causing a large power draw. Seems like an extreme example but indeed the outlet behind my system (before I installed a dedicated circuit) was on the same circuit as the laundry room, bathrooms, kitchen and garage. You can probably figure out from those hints that it is the GFCI protected circuit. Seems like it would be easier to install a GFCI outlet in every bathroom than to run the same circuit all over the house but for some reason my house has only one GFCI circuit and it has an outlet behind my stereo system.
Jerry