@Eero: IMHO you are missing some points here. There are more and more browsers that are unable to use SSL{2,3} as well as TLS1.0, not just disabled via config, but this decission was made at compile time. Newer Android and Apple-iOS devices for example.
This is not true. it works fine with latest android and ios. I just tested it.
And the point is not that the site supports TLS1.0, but that it does not support TLS1.1 and/or TLS 1.2, and as such is incassessible to devices that ask for TLS1.1 as minimum for HTTPS.
But that is for the admins/webmasters of the servers to resolve.
Many sites are still using centos 5 and clones and cannot support tls 1.2 and tls 1.1 without upgrade.
-- Eero