I have only heard two GM70 SETs, Amplifon and the top model Lamm, neither of which sound anything like what you're describing, regardless of the specific type of GM70 (copper, graphite etc.) used. Quite on the contrary, those are amps that take the sound of the jumbo transmission tube family (211, 845, 805, GM70) to another level. I'd be curious what brands you're referring to.
Admittedly I've heard 845 amps that sound as you're describing, always ones with an output wattage over ca. 20 Watts Class A, later found out that this appears to be a result of overdriving them (attaching a link to the JAC Music article):
http://www.jacmusic.com/nos/GM70/