I'm familiar with the Pultec equalizers. You can look at a schematic of one and see that the the amplifier uses RC and RLC circuits as low pass and high pass filters with different corner frequencies. An active gain stage has to follow in order to compensate for the gain loss from the filters, assuming that you want something approaching the same signal level going out as you had coming in. In the Pultec equalizers, the gain is from a tube amplifier.
So, yes, looking solely at the output of the equalizer circuit, some frequencies may be boosted in relation to each other, but the overall signal level is cut in relation to the original input. At some point, there has to be an active circuit - before the equalizer or after it.
Also, perhaps I misunderstood one of your posts, but as far as I know, all gyrators are active - whether it's a tube, transistor or opamp. If a gyrator is a circuit that uses capacitors and an active element to behave like an inductor - an inductor-based gyrator seems redundant.
-Drew