The one thing the "sound guy" should never criticize is the "sound." Just a thought.
As for your rig, Carlos Santana uses a Mesa Boogie Mark I or Mesa Boogie King Snake. He also has tech guys on tour with him who make a lot of money.
Steve Vai uses his Carvin Legacy. He also has tech guys on tour with him who make a lot of money.
I have been told Joe Bonamassa is a guitarist. That is all I know about him.
I have never heard Eric Clapton produce a "singing tone" on the electric guitar but I have not listened to very much Eric Clapton in my life.
In general, a noise gate helps with noise, and compression helps with achieving a "smooth tone." These are not solutions, just facts, but when applied properly, they can lead to solutions. The audio on the Carvin video is not good. Nevermind the amp, humans do not sound like that when they talk. Regardless, you seem to have been fighting this amp for a long time which is not productive or fun. I'll leave things here for thought and reflection. Perhaps other guitarists will chime in.