This false equivalency, if you honestly believe it, is shallow at best.

The ‘left’ has identified speech that is likely used to belittle or negate someone else’s existence and will appropriately label it as hate speech. Any structural changes to make these words frowned upon have taken years to get into place; people were allowed to adjust (and the length of time to do so is ridiculous in its own right), and what little change has happened did so in a way where the people who must change are barely inconvenienced. There have been few legal repercussions for the use of hate speech by anyone with a modicum of power. Sure, you could identify a few, but there are a ludicrous number of flagrant violations of any such laws (which are few) which go unpunished. The ‘left’ here being any sane member of society which has publicly pointed out that certain words are singularly incendiary.

Meanwhile, the grifters of this ‘right’ have conned the honest conservatives into believing that DEI is a term of hatred against conservatives. The ‘right’ has identified that they wish to say whatever without punishment and are structurally creating a cost for using inclusive language in any official capacity. The grifting part of the ‘right’ also doesn’t mind breaking any semblance of stability for everyone else. The ‘right’ here being the near-narcissistic people who have happened upon positions of privilege and believe that they are superior, have earned it, and that only those similar to themselves should ever attain such a position in the future.

But no, you have reduced your observation to ‘two sides are banning words.’