I agree. The ability to have Strength of Schedule and Extended Strength of Schedule available as tiebreakers would be great! More specifically:

• Strength of Schedule: A player’s strength of
schedule is calculated by dividing each opponent’s
total tournament points by the number of rounds
that opponent has played, adding the results of
each opponent played, and then dividing that total
by the number of opponents the player has played.
The player with the highest strength of schedule
is ranked above all other players in the group not
yet ranked. The player with the second-highest
strength of schedule is ranked second among all
players in the group not yet ranked, and so on.
• Extended Strength of Schedule: A player’s
extended strength of schedule is calculated by
adding each opponent’s strength of schedule and
then dividing by the number of opponents that
player has played. The player with the highest
extended strength of schedule is ranked above
all other players in the group not yet ranked. The
player with the second-highest extended strength
of schedule is ranked second among all players in
the group not yet ranked, and so on.
• Random: If any players are still tied after all other
tiebreakers have been applied, then those players are
ranked in a random order below any players already
ranked in the group.

Yes agreed! We just had a Swiss tournament where two teams ended up with the exact same TB (wins against tied opponents) and exact same Median Buchholz. There should be another tiebreaker option to fix this, such as Buchholz that doesn't drop the top and bottom.

Example of the problem: https://challonge.com/MastersCup3/standings (see #6 and #7 in the standings)