The teams that lost in advanced stages of the cup might be a bit disappointed by the fact that they'll end empty handed while the teams that lost in first round can still compete for the plate.
So, for the next year, I propose that all losing teams may be offered to compete for the plate. Here is how this would extend the competition tree if the current cup was played like this
(7 more matches in blue):
http://regis.barbanchon.free.fr/tfpr/misc/double-elimination.xfig.pngAlso, both competitions (cup and plate) could be merged into a single full double elimination scheme if the cup winner offers the plate winner a super final in two matches where the plate winner must beat the cup winner twice (cup winners may lose once since contrary to plate winners, they never lost a match).