So, in light of Blogger being a pain with commenting, I decided to try the Disqus platform. I am now fiddling with it so if you have any problems, sorry for the inconvenience.
I'll see how it works and if it's doable, I might just keep it. I seem able to comment using Disqus even without enabling third party cookies, so maybe others can as well.
P.S: I am in the process of importing old comments to this so they have "disappeared" for now. They are still safe and sound in Blogger though.
Update: Ok, so I think I'll keep this one. I have more control over it. I think you should be able to post as guests just fine, but the cookies deal is inevitable for logging into the other services.
I personally blocked third party cookies and just added disqus.com to my exceptions. That way, I can just receive cookies from there and do my work without interruption. You can try that if you like or you can comment as guests as well.
So, let's see how this one goes and I hope it goes well.
Update 2: And Firefox decided to be annoying and not show an avatar image. It worked on IE for a while. Something with my template isn't right, probably. Have contacted Disqus and hopefully, they can check my code and help somehow.