This gets to the issue of property rights. It's not unlike the tribal debate over mask requirements in private businesses.
If you are a conservative you believe in property rights. Thus, private companies can make whatever rules they want...with their property...and if I don't agree with them, I go elsewhere.
The same is true with Twitter. So it makes this whole fiasco so hypocritical. If you claim to be a conservative but you don't respect a business' right to set its own rules, you're a charlatan.