You should rearrange the inputrc so the commented line comes after set keymap vi-insert.
Like this:
set bell-style none
$if mode=vi
set keymap vi-command
"gg": beginning-of-history
"G": end-of-history
set keymap vi-insert #notice how the "jj" movement is
"jj": vi-movement-mode #after 'set keymap vi-insert'?
"\C-w": backward-kill-word
"\C-p": history-search-backward
$endif