Signal Interfacing is an often misunderstood topic, but it's really pretty simple...
The IEC - the body that publishes these sorts of things, makes the following recommendations:
For consumer gear the source impedance =< 2.2 k ohms, the input impedance >= 22 k ohms, and the nominal operating level = -10 dBV, where 0 dBV = 1.0Vrms (note it is not necessary to specify impedance!)
For professional gear the source impedance =< 1 k ohms, the input impedance >= 10 k ohms, and the nominal operating level = +4 dBu, where 0 dBu = 0.7746Vrms (again no impedance specification required.)
These specifications are for voltage transfer, NOT power transfer. For power transfer the source impedance and input impedance should be equal for maximum power transfer, which is still a 3 dB loss.
Direct boxes, re-amp boxes, etc run the gamut, and you have to read the specifications to know what you are buying.
Passive direct boxes, generally speaking, do attenuate the signal from line level (+4 dBu) to microphone level (anywhere from -30 dBu to maybe as low as -50 dBu). They do this by way of a transformer with a turns ratio that reduces the signal level.
Passive isolation boxes do not attenuate the signal.
Passive re-amp boxes (again in general) reduce the line level to something appropriate for a guitar amplifier input, typically -20 dBu to -30 dBu.
This is yet another opportunity for confusion, since guitar amplifiers can be described using either dBV or dBu, and the relationship between them is not obvious. It would be nice (or at least mathematically easy) if they were 14 dB apart. In fact they are only 11 dB apart, because they use different references (1V vs .775V).
The next obstacle is dBFS vs dBu or dBV. The later two are rms LEVEL measurements. The former is a peak level measurement. And dBFS is, at least as of now, without a fixed reference. A topic for a much longer post<G>!
Last bit for now, to answer the original question, is that impedance mis-matches are not as bad as they sometimes appear, you need a really big mis-match to create any kind of meaningful loss.