As of NSX 6.2.3 TLS 1.0 support is deprecated on Edge Service Gateways. So if you are using load balancer with SSL offload, TLS 1.0 ciphers are no longer being supported and those clients that rely on them will not work anymore.
The supported ciphers can be easily checked with nmap. Here is nmap output to website behind NSX Edge 6.2.2 and 6.2.4 load balancer:
In my case PowerCLI stopped working and could not connect anymore to vCloud Director endpoint behind the Edge load balancer. The error was not very descriptive: The underlying connection was closed: An unexpected error occurred on a send.
Fortunately, it is possible to force PowerCLI to use TLS 1.1/1.2 by editing Windows Registry as described in the KB article: Enabling the TLSv1.1 and TLSv1.2 protocols for PowerCLI (2137109).