Seeding a tourney is not the same as winning a conference, do a little web searching and you will find numerous "co-conference" champions. It is the given title used in many sports when teams tie and there is no conference championship game. In fact you would find that the SEC uses divisional co champions when teams have the same record, then they use a tie breakers for seeding. Oh and this last season Ohio State and Penn State were .... wait for it ...... Big Ten Co-Champions!!
"After finishing the conference season with 8-2-0 records, Ohio State and Penn State shared the 2010 Big Ten Championship, marking the Buckeyes' first and the Nittany Lions' 13th-straight."