Yeah, typically you'll drive the gate with a modest current, say 100mA. A number of the parameters are measured at this condition, too.
Or use a typical driver, like for an AC switch, an MOCx optotriac and a 220 ohm series resistor, or thereabouts. The phototriac's peak current rating is about the same as the gate, but it only delivers current while there's some MT1-2 voltage, so it's pulsed only very briefly.
Don't think I thought about the on-state gate voltage before, but it makes perfect sense. It's always an important question -- you must never fall into the trap of thinking a device is unidirectional only, or nonreciprocal. Many of our devices are, or can be designed according to such principles (e.g., analog and digital logic -- opamps and gates), but they are complicated devices, made specifically to satisfy that constraint. The building blocks they are made from, are more nuanced, and it helps to be aware of these things.
I was aware, however, that GTO (gate-turn-off) SCRs are a thing, and that you yank current out of the gate (mostly equal to I_F!), probably with a bit of negative supply to facilitate it, but mostly you're pulling it down from a diode drop, and it's technically sufficient to just short that out (at least, if series resistance isn't a problem).
So you'll get the same thing in a TRIAC, of course. Probably can't GTO one, though!
BJTs also do this a bit: at low Vce (in saturation), the B-C junction forward-biases and Vbe drops slightly. This can be used as saturation detection, and at least one designer used this mechanism for a relaxation oscillator, which as a result generated a very accurate amplitude (because it's pulling down to very nearly 0V).
Tim