Never said impedance and level were the same thing, and they're not. I am aware of the definitions of impedance as that was covered well in my BSEE program some 35 years ago. However level is usually much more important for things like damage to gear.
You might want to read the reference you supplied, as it contains some good information. For example:
“In order to preserve signal level and frequency response, it's important to drive equipment with a source signal that is lower in impedance than the equipment's input impedance. If the input impedance of a device is not significantly higher than the source impedance, the signal will be reduced or "loaded down" and its signal to noise ratio and frequency response will suffer.”
“As a general rule of thumb, it's wise to try and maintain an input impedance of at least 10 times the amount of the source impedance.“
Most all amplifies, including guitar amps, have a high impedance input. Most all mixers have a low output impedance. The above paragraphs are some of the reasons why this is the case, and why it works well.
You might also want to read the specifics from your other reference for the re-amp product. What it basically does is to match output and input levels. It is targeted towards professional recording where input/output levels are high (+4 based). It effectively reduces the output levels so that the result can then be correctly connected to a guitar amp (which is where the name RE-AMP comes from), which is usually a much lower level input device. To quote from their FAQ:
“Because the Reamp is transforming high-level audio into low-level audio there is no need for added power.”
The Re-Amp allows a guitar player to record a flat guitar sound (with no effects) and then cycle the recorded signal back through the complete guitar effects/amp chain during the mix down phase to produce the desired overall sound. This way you play it once, but can change the tone, effects, etc during mix down without the need to play it again.
In the case of using a small mixer to front end a guitar amplified, the output level control is key as it allows one to tailor the output level of the mixer to the correct range for the input level of the amp. Most power amps are line level based, where most guitar amps are lower level based.
Ed