Even modest power amps can draw a lot on startup. If your lights remained dim after that I’d say you have an issue. Now, is it bad sounding? Of all the gear we use, linear amplifiers are more susceptible to AC voltage changes due to using unregulated supplies. If it drops but comes back up you are fine.
To be clear, part of what has happened is your own fault here. With 10 gauge wiring your startup current is going to be unusually high, so may affect the other circuits on the same leg for a moment. You probably wouldn’t have this problem on a normal 12 or 14 gauge circuit! :D
If in doubt the first step is to monitor how bad the issue is. Get a cheap tester like this one and plug it into your outlet at your stereo and also at another circuit which shares the same phase. See how bad the drop is, and especially measure the N-E voltage. If you find an excessive drop, or more than 2V on N-E it’s time to contact an electrician.
On a related note, my home suffers seasonal + episodic voltage swings due to weather and HVAC turning on and off, as well as different voltages during the day vs. at night. All within spec but to keep my system voltage regulated I use a furman with the AR + SMP features. To be clear, don't fix house wiring problems with a power conditioner. Only if you know your power is good/safe should you use a conditioner to improve the stability.
Also related, I moved in when this house was about 15 years old and I did have flickering lights when certain appliances were used. Like, my living room lights would flicker when the bathroom fan was on but on different circuits. Little things like that all around the house. I ended up replacing 100% of the wall switches and all the 120V breakers which fixed the problem. My point is just that at 15 years, you start edging into breaker reliability issues, though they should overall last another 20 years. If you end up replacing, get an in-panel surge protector as well.

