I genuinely can't fathom this argument at all and it seems rather widespread in these parts.
For one thing I'll keep strongly objecting to the use of "censorship" for something as mundane as this. It's a strong word, a private company saying that you can't do X or Y on its own turf is not censorship. If you tag the walls of a McDonalds and you get thrown out it's not censorship. If you're using Mailchimp and they say "we don't want to deal with that anymore" it's not censorship. If they based their decision on race, sexual orientation or religion it might be discrimination but Bitcoin is not officially a religion yet.
For systems that have a quasi-monopoly or a very dominant position such as Youtube it's true that it can be a problem. Not being able to post your videos on Youtube will probably reduce visibility a lot. That's still not a free-speech issue though, it's a monopoly/lack of competition issue. The solution isn't to force Youtube to host your content, it's to work on having competition in the video hosting space.
In this case though it makes no sense. Email is an open infrastructure, anybody can start sending emails whenever they want. You don't have to ask anybody for permission, setup postfix on some dedicated server and mail away.