Different vactrols have different attack response as well as decay. I would have predicted that none of them are fast enough to get the discontinuity click, but I guess I’d have been wrong 
Generally speaking, lower voltage triggers into a vactrol lead to softer attacks (and shorter decays and less brightness too of course).
Among the four LPGs I have:
Natural Gate: non-vactrol. Will click at its most aggressive Material setting using the Hit input (not the CV).
Pittsburgh DIF: also non-vactrol, and much less competent than Natural Gate at imitating the response. It too will click when using the Impulse input. I almost always use the CV input with an envelope, though, where it sounds pretty good.
0HP Vactrol LPG (passive vactrol): has a noticeably soft attack that gets completely blurry if you attenuate the trigger. But the decay is shorter than I would like, and it tends to overdrive (in kind of interesting ways) if you don’t attenuate the audio input.
Gerridae (passive vactrol): behavior is similar to the 0HP, though the tone is a little different.