As of now, extensions can kind of customize this like before, they just don't do it in a fully general way (like you'd get from a supported settings feature). The extensions will only apply after a given tab's page has loaded. So if I want to go left three tabs, I will get stuck on any tab which needs to reload, or doesn't have a page loaded, or any number of exception.
So, bottom line, I can't customize controls in a general sense anymore.
For example I like to be able to have two distinct "close tab and focus left" and "..right" shortcuts, so I set every app to ditch MRU switching of tabs and always "close to right" (Ctrl+W, not remapped) and then have other (Ctrl+Shift+W) combination set to fire up Ctrl+Shift+PgUp (what moves active tab to the left in most apps) and then Ctrl+W what closes it natively, so new active tab is the closed one's former left neighbour.
; Firefox "close tab to the left"
; relies on about:config browser.tabs.selectOwnerOnClose=false
; (that ensures ^w will always select → RIGHT
; #IfWinActive, ahk_class MozillaWindowClass
; close to left
; this will effectively override the dreaded ctrl+shift+w close window
^+q::
^+w::
sendInput,^+{pgUp} ; = swap current tab with left neighbour
sleep,5
sendInput,^w ; = close current tab
return
; close to right (default)
;^w::
;sendInput,^w ; = close current tab
return
; #IfWinActive
The same shenanigan is doing (also global) mouse gesture for me (StrokesPlus, the olden one).