> Why is your argument different?
Because in a liberal democracy - or anywhere for that matter - not all ideas are of equal value. The same goes for Putin's Russia as it does for, say, Finland. You have to decide what you stand for, a culture has to decide what it wants to value.
Some ideas and actions are quite obviously, objectively anti-life, pro-misery.
Two people saying the same thing or doing the same thing are not inherently achieving the same outcome, pursuing the same end goal, arriving at their ideas from the same place, and so on. All of that matters in a big way.
A liberal, human rights respecting democracy with a constitution is objectively better if human well-being is your standard, than a theocracy. We have many centuries of experimentation and result at this point, no guessing is required.
Which is to say, deplatforming two very different people that are saying entirely different things and attempting to accomplish very different end goals, is not the same thing just because they're both the act of deplatforming.
Shooting and killing an innocent person at random on the street is not the same as shooting and killing a robber that has broken into your home and is intent on harming your family, despite the fact that they both involve you shooting and killing someone. The same exact moral principle is involved in the deplatforming premise.