Hmmmm. I mean, Marx himself wrote in favor of reforms and did not advocate this kind of revolution vs reform delineation you are articulating.

I also don't know how you would think of someone as being left or right in a post-revolutionary world ... would this distinction still be relevant? What about in the USSR 20 - 40 years after the revolution, who was "left" and who was "right" e.g. in the context of the Hungarian Revolution of 1956?

And are all revolutions "left"? The French liberal revolution was liberal, but also a revolution, so was it left or right? If all liberal revolutions are reactionary or not leftist, what about the Haitian liberal revolution, which was driven by liberalism but also anti-colonial & anti-slavery movements?

Also, the reactionary opinions on Tea don't really seem motivated by class or revolutionary concerns (at least not directly), they are more about the personal frustrations men experience in dating and finding a partner, and the way this opens the door to a kind of "revenge" satisfaction when women they deem as doing something immoral get victimized. Particularly I think these men see women as doing something immoral by talking about them behind their backs with other women, men variously describing this as gossip or even as a privacy breach (since the men's photos and information are collected without their consent and then put together in profiles for other women to rate and comment on). So when women have their information and photos released against their wishes, it feels more like justice to those men than an injustice.

Either way, I wouldn't say this is a reactionary response in the sense that it resists revolution or supports the ruling classes, except in the most generic ways (i.e. how patriarchy has traditionally been a component and tool of class oppression, racism, etc.; and to whatever extent these men are falling prey to the structural logics of patriarchy, they are participants in it - though I will point out women are no different in this regard).

From my view left/right has little to do with revolution itself; instead, the left embodies values like egalitarianism and liberty while the right embodies status quo hierarchy and tradition.

To that end, the Democrats might be "left" on issues like gay rights while being very much "right" on issues like immigration.

I know it's written by a social liberal, but you might checkout Left and Right by Norberto Bobbio, as I think it has been influential in the literature on how terms like left and right have been used and developed.

I'm not sure I full agree with Bobbio, as I'm inclined to think liberalism mostly deserves to still be viewed as a right-wing ideology (even if liberalism has evolved and social liberalism has incorporated leftist social movements). It's hard not to see this as the overall situation given the way capital accumulation happened under colonialism and imperialism, and the unwillingness to address those injustices and inequalities by liberals due to "property rights"; as well as the general way that the concept of capital and the way "private property" has been expanded to include far more than personal property, it all strike me as facilitating inherently authoritarian and hierarchical ends.