Well, yes and no. It's not in any way caused by climate change, but previous large volcanic eruptions such as Krakatoa and Mount Tambora that eruptions of this scale can cause temporary climate change for a few months to a few years.
Do you have something, more specific than a long now foundation video link, with which you propose that a ~1-3°C temperature increase the atmosphere produces meaningful differences in volcanic eruptions, processes that are generally thought to result from processes driven in the mantle, athenosphere, and below? (Remember that the typical temperatures of these regions are around ~1000°C, and they are generally well-insulated by miles of crust.)
like heck I'd listen to "something something ice sheet rebound" except this is Tonga and it's quite some distance away from any ice sheets
don't make me watch the thing! this is your comment, you do the work and tell me what's meaningful in there and how it's connected
It's related without a doubt. We're talking here really about the magnitude of the effect. First, I do think there's a strong correlation between volcanic activity and atmosphere temperature variances. Historically, supervolcanoes did change earth atmosphere. That's a fact.
So, now you're mentioning that reducing the amount of polar ice, rising sea level do not present more pressure on the inner layers of Earth? I highly doubt it.