No, wrong! The whole point of having a dedicated line is to eliminate all those extra connections. This is not theory or conjecture, I know it for a fact. My room was originally wired the normal way, outlet to outlet. The only thing plugged in was my stereo. This was replaced with a true dedicated line that went direct from the panel to just the one outlet. Huge improvement! Nothing changed in terms of current draw or anything like that. Same wire, same breaker. All that changed was eliminating the extra connections.
The thing to keep straight about audio, the crap we measure is just that, crap. If you want to learn just one thing about audio that will really, really help it is any time you hear any words about measuring anything just tune it out. Not because no measurements are ever any good. But because the vast majority of the time they are a waste of time.
Like right now, OP is fixated on current draw. Good sound has next to nothing to do with current draw. Because of the way homes are wired, because of code, you can be sure of no problems with current draw. This is like owning a Porsche and being happy it has tires. Which tires? Round black ones. Oh, I see. As if they are all the same.
There is zero- absolutely zero- equipment that NEEDS a dedicated line. The equipment needs nothing but electricity. You can plug it into any darn source, if the light comes on the equipment is fine. It is YOU who WANTS a dedicated line, BUT ONLY if you care about sound quality.
If you care about sound quality then you want one wire continuous from one breaker to one outlet. If you care about current, why am I even here? Good question!