Same problem here (with DB2),

I write a CompositeUserType (field order is fixed here) without "Row Value Comparison" support and Hibernate throws "QuerySyntaxException: >= operator not supported on composite types."

(a,b,c) > (:x, :y, :z)

can translated statically to:

(a > :x OR (a = :x AND (b > :y OR (b = :y AND c > :z))))