Keybindings are saved server-side, so if you create a new character and make some keybinding changes on one computer, they will remain changed if you then play that character on another computer. What won't transfer across computers is, for example, resizing of the chat window which is therefore saved client-side.
That is my experience over the years with ESO installed on two PC desktops, not through Steam.
But why did my ping skyrocket? Never happened before. Have excellent hardware and good fiber ISP here in Oslo. Hacked?
My keybindings also back to normal. Why did they reset to default and return to my own customized settings after I restarted my internet connection?