I take the opposite approach of the idea of this thread. I **prefer** an amplifier that takes an overdrive well and let me explain why.
I’m a metal guy so I’m going to say thing from a metal context. Generally speaking, we’re dealing with pre-filtering. When you have an amplifier that already had the pre-filtering built in, you are resigned to the manufacturer’s specs and opinions of how it should work. Take the EVH red channel for example, you’re not boosting that with an overdrive as it’s already gained-out before you even hit go. You have one option with that channel and it’s what Fender wants you to have.
Contrast that with a Dual Rectifier’s modern channel. This amp does not have the pre-filtering built in and gives you a wide, thick tone to start with. You can then choose what prefiltering you want. You get that freedom of choice. Do you want to compress it? Do you want symmetrical clipping, asymmetrical clipping, a clean boost, an EQ to remove lows, maybe a mic pre for even wilder response, etc. I run about 5 or 6 different types of overdrive into my rectos and i can get wildly different tones from the same amp and channel as a result.
I fully control my gain staging with these amps. So no, I don’t view it as let down to be able to more freely express myself and not be tied down by the constraints of the manufacturer.