What's Orwellian is being publicly lynched for wrongthink. The far-left is just as authoritarian as the far-right, IMO. The left accuses the right of living in a bubble, but they're completely unaware of their own dogmatic echo chamber.
I'm queer. I'm in favor of universal access to abortion and socialised healthcare, but there are a few things I could say that would quickly get me labelled as right-wing and all sorts of bad things. It used to be that being liberal, being left stood for freedom of speech and the open discussion of ideas.
Ah yes, the ever-famous both sides argument. I always hear this alongside arguments from people using the word Lynch in an incredibly inappropriate context.
The term Orwellian is usually used in allusion to the book 1984, in which the official terms for institutions are direct opposites of what they actually are - e.g., the Ministry of Plenty oversees rationing, the Ministry of Truth oversees propaganda, and so on, and in which thoughts are strictly controlled and unapproved, unorthodox ideas are labeled "wrongthink."
You say that the word 'justice' is being used in a Right-Wing Authoritarian (I assume that is what you mean by RWA) context. Here is a definition of RWA from Wikipedia (original source from "The Kinds of Conservatism" by Karen Stenner, Psychology Press 2009): "Right-wing authoritarians are people who have a high degree of willingness to submit to authorities they perceive as established and legitimate, who adhere to societal conventions and norms and who are hostile and punitive in their attitudes towards people who do not adhere to them. They value uniformity and are in favour of using group authority, including coercion, to achieve it."
Merriam-Webster's first definition for 'justice' is "the maintenance or administration of what is just especially by the impartial adjustment of conflicting claims or the assignment of merited rewards or punishments." Now, that's a bit of a circular definition given that it contains the word 'just' in it, but the 'especially' clause is substantial.
I think that the common objection that people have to 'social justice' types is that they strongly reject those whose ideas do not fall in line with orthodoxy, and are quick to brand anyone who disagrees with them with labels like 'misogynistic', 'Nazi', 'alt-right', etc. The phenomenon of 'outrage mobs' (I find the term 'lynch mob' to be distasteful and inaccurate here) is a common example of this trait. Outspoken supporters of 'social justice' engage passionately in public shaming, in 'no-platforming' (i.e., suppression of free speech), and demand that targets lose their jobs. They seek to punish dissenters outside of the formalized system of justice (the courts; imperfect as their implementation of justice may actually be, they are certainly fairer than the mob rule and/or sovereign edict that they have replaced), and minimize the presumption of innocence before guilt is proven, preferring instead to encourage believing in victims unquestioningly. These tactics seem to be in direct contradiction to our definition of justice: 'the impartial adjustment of conflicting claims,' and sound more like the use of coercion to achieve uniformity.
I think that most people agree that in our society people should have equal access to opportunities, that unfair discrimination is bad, that it is good to help the disenfranchised, and that pervasive systemic injustices exist which should be rectified (reasonable people disagree on the degree to which the government is the entity responsible for implementing remedies, and how it should do so - but that is a separate discussion). Thus, it's difficult to argue against something which on its face bears the name of the concept of justice. Just like it's difficult to argue against something like 'The Patriot Act' which bears the unassailable concept of patriotism in its name, even though in reality it is unpatriotic. Those who oppose 'social justice' and 'political correctness' I think more specifically oppose the policing of discourse and the silencing of dissenters.
Thus, I implore you to reexamine your usage of the term Orwellian and consider that what is Orwellian is not the 'demonization of the words social justice,' but rather the usage of that very term by a group of people whose tactics are decidedly the opposite of justice in practice.
"Justice" is literally the last word in America that I thought would be used in some RWA-type context.