Agreed. You can probably drop SSL connections in favour of TLS only if you do this, too. I've done this on my work and personal sites and everything works fine for modern browsers.
For example, the config for your Nginx server block can go like this, with no need to support SSL at all.
> ssl_protocols TLSv1 TLSv1.1 TLSv1.2;
I realise this excludes some traffic and I'm okay with it.