Is this a bad profile name? Does it matter?

It would matter on where you are using this ID. Do you mean after you talk on some other site you give them this ID? By then I would assume you've mentioned your business so it shouldn't matter... and if it might, then give a small "notice" with your ID and say something about your company.

It's not "booblover69" or "BigDaddySweetCheeks", so I think you're okay

"Cooldog," to this post-grad educated, Eastern, liberal 45-year old academic female would be a bit of a red flag without knowing where the name from. (I am pretty sure that I have seen "Cooldog" as a profile name on some of the non-paying dating sites I've checked out, and maybe on Match.) Other demographics might find it entirely otherwise, and of course someone in your local area might be familiar with your concert series.

(I checked out your profile: the concerts your organize sound great to me! It's too bad my guy & I aren't in the Delaware area.)

On eHarmony and Chemistry it is customary to use your actual first name (or the name that family and friends call you by).

On other sites it is customary to use a non-identifying screen name. I don't see anything negative in "psgcooldog". This would certainly be the case if you make mention of where "cooldog" comes from.

Now your new name "LiveMusicCTO", I can see a negative in this one. I don't know what the "CTO" in your screen name stands for but to me it would mean "Chief Technology Officer". This would, to my way of thinking, be sending the message or "I am a rich executive, so date me for my money". I doubt that is the message that you are trying to send.

Having been on Match, POF and several other dating sites for quite some time I really have not used someones screen name as an method of evaluating them as a person. I suspect that if I had a match that is using my screen name to evaluate my potential as a date then I probably would not be interested in dating them.