Hi Goodface
VMWare recommends to use the Webclient whenever possible. I think VMWare will set the status of the vSphere Client to "deprecated" soon. So it's good to use the Webclient.
As well some Plug-In will only be accessible from the Webclient or vSphere Client like VMWare Side Recovery Manager, which we can only use in the vSphere Client in this Version.
Like I said. Use Webclient whenever possible
Tobi