При использовании putty, alt-left / right отличается, когда byobu запускается автоматически из профиля

byobu — это просто оболочка над tmux, которая отвечает за поведение, которое вы видите. tmux пытается перевести «ключи» в последовательность символов, которую xterm будет кодировать модифицированными специальными ключами. В руководстве это задокументировано:

         xterm-keys [on | off]
                 If this option is set, tmux will generate xterm(1) -style
                 function key sequences; these have a number included to
                 indicate modifiers such as Shift, Alt or Ctrl.  The
                 default is off.

хотя в новых/последних версиях, как сообщается, по умолчанию используется на . Это выявило проблему, замеченную в этом сообщении коммита -:

commit d52f579fd5e7fd21d7dcf837780cbf98498b10ce
Author: nicm <nicm>
Date:   Sun May 7 21:25:59 2017 +0000

    Up to now, tmux sees \033\033[OA as M-Up and since we turned on
    xterm-keys by default, generates \033[1;3A instead of
    \033\033[OA. Unfortunately this confuses vi, which doesn't understand
    xterm keys and now sees Escape+Up pressed within escape-time as Escape
    followed by A.

    The issue doesn't happen in xterm itself because it gets the keys from X
    and can distinguish between a genuine M-Up and Escape+Up.

    Because xterm can, tmux can too: xterm will give us \033[1;3A (that is,
    kUP3) for a real M-Up and \033\033OA for Escape+Up - in fact, we can be
    sure any \033 preceding an xterm key is a real Escape key press because
    Meta would be part of the xterm key instead of a separate \033.

    So change tmux to recognise both sequences as M-Up for its own purposes,
    but generate the xterm version of M-Up only if it originally received
    the xterm version from the terminal.

    This means we will return to sending \033\033OA instead of the xterm key
    for terminals that do not support xterm keys themselves, but there is no
    practical way around this because they do not allow us to distinguish
    between Escape+Up and M-Up. xterm style escape sequences are now the de
    facto standard for these keys in any case.

    Problem reported by jsing@ and subsequently by Cecile Tonglet in GitHub
    issue 907.