Microphones aren't ears, and you don't have your ears pointing directly at the speaker cone, so the mic will never sound like what you perceive in the room. (especially if it is close mic'd) If you put your ear where you placed your mic, you would hear something more what the mic is giving you. (don't do this at war volume)
The fastest way to get a good sound recorded is to let go of what the amp sounds like in the room and focus on what it sounds like to the microphone. If what you are getting in the mic is too dull, aim the mic more toward the center of the cone, if it is too bright move it away from the center. Small mic movements make a huge difference in the captured tone.
Guitar 'sound' is made up of a few different things.
The feel of playing, which tends to be caused by the compression and response of the amp. Smooth or spikey
The tone structure or frequency response. This is the only thing you can manipulate with mics, mic placement, or EQ
The type of, or lack of, distortion. Crunchy, grainy, fuzzy
All of these are affected by the others and most of what people tend to want to capture is what they feel while they are playing, which can be completely different than what it actually sounds like to other people or the microphone. Much the same way your voice sounds different when recorded than it does when you are talking.
All this rambling is to say that you need to adjust the amp to capture the sound you want through the microphone without worrying what it sounds like live in the room.