Hi Guys,
The biggest issue with input/output impedance is the change in frequency response. This is especially bad with tube pres as they usually have a high output impedance. Driving a low impedance input amp can affect the overall response and deviate from ideal. With purist tube pre's even the volume control setting can affect things because they lack additional buffer stages that would prevent this.
Good ways to see this is to look through the Stereophile archives and look at tube preamps. In the measurements section you will see the frequency response driving different simulated amps. Here is a link:
http://www.stereophile.com/category/tube-preamp-reviewsIf you look at this particular preamp, youll see the FR changes a great deal when driving a 100k load vs. 600 Ohms.
http://www.stereophile.com/content/vtl-tl65-series-ii-signature-line-preamplifier-measurements#aVQTI...High impedance inputs also tend to be noisier (I think).
Solid state preamps or op amp based preamps can easily be completely flat down to 600 Ohms.