Snake Oil, FUD and the security problem known as Web Browser
The TP Online server does not exhibit any unusual properties, and there are *NO* server vulnerabilities visible in the SSL Labs Scan.
https://www.ssllabs.com/ssltest/analyze.html?d=tponline.co.uk
What this server does not provide is numerous mitigations for common and stupid Client / Browser bugs. But fixing (or not ever implementing) these stupid client side bugs is the jobs of those implementing the clients, not of those running servers and trying to offer good interop.
The design of the SSLv3 and TLS protocol will protect the handshake between properly implemented clients and properly implemented servers. BEAST and POODLE are attacks on Browsers exploiting browser design flaws.