It's possible, but we have no way of knowing. Frankly, we really don't know what it's doing NOW within a couple of orders of magnitude.
There's nothing remotely unusual about current undersea volcanic activity, as best we can tell.
Ten years ago we were just learning about black smokers. Three years ago we began to learn about white smokers. Both have cumulative enormous heat outputs that vary considerably. To state that there are sudden recent changes is alarmism. To state that there haven't been changes is unsupportable due to lack of evidence.
It's like measuring hurricane strength over the last few hundred years when we have only vague proxy records, insufficient to properly describe even a single hurricane much less a season, prior to the early 1990s.
The existence of smokers/hydrothermal vents on the ocean floor was predicted from a landmark paper by Wolery and Sleep based on crustal heat flow measurements. This paper defined the amount of heat released from the mid-oceanic ridges. Because that amount of heat is known, it is also known that this amount of heat does not affect climate and doesn't even appreciably affect the temperature of the oceans. Local effects will be measurable, of course.