The following seasons have been difficult for 'Hav' with many players leaving the area, retiring or moving to other clubs – ultimately leading to relegations after the 2008–09 season and the 2011–12 season to get to their current level.
'Hav' faced a series of tough seasons, marked by significant player turnover, including departures, retirements, and transfers to other teams. This exodus ultimately led to relegations in the 2008–09 and 2011–12 seasons, contributing to their present situation.