Yes, you specifically want to approach it like recording - if the mic doesn't "hear" the sound you want, it will not be in the profile.
But, that has little or nothing to do with preamp quality. No preamp is needed to profile, if you use a dynamic mic or have a phantom power box for a condensor mic.
The positions of the knobs on the amplifier, the type and amount of Refining, and Mic placement are all much more important than the perceived quality of the mic preamp.
If you have a preamp set to get a specific type of distortion or frequency response, that would be reflected in the profile.
Any subtle differences between two "clean" mic preamps wouldn't likely have much, if any impact on the profile.
I know of at least one person who has made some of the the most highly regarded amp and cabinet profiles, and used a mini Behringer mixer to mix multiple mics when he made them. It provides dual phantom power, input trims, and is an integrated mic/line mixer.