Parker's objective this season was promotion or at the very least to reach the play offs. I don't think that Pace and the board will mind one bit about the style of play if we achieve promotion. If we are promoted, having a solid defence will hopefully be easier to build on next season than the free flowing football that we played under Kompany. Last season Kompany left it far too late until he started adopting a more pragmatic approach in the way that we played.
Ideally all fans would like their teams to have a solid defence whilst providing scintillating attacking football. We are so good defensively because our team as a whole. especially our midfield players such as Cullen, Laurent, Anthony, Hannibal (usually) and Brownhill are so well disciplined in their defensive duties. This means that we have to sacrifice some of our attacking threat. For example if Ramsey had played more games we would probably have scored a few more goals but we would have also probably conceded a few more.
If I was a neutral fan it pains me to say it, but I would enjoy watching Leeds play. But I am not a neutral fan, I am a Burnley fan and my only hope is that we either achieve promotion this season or next. I don't really care about the style of football which is nowhere near as dire as some posters make out IMO.