The show was often accused, specially by right-wing populist parties Fidesz and KDNP, of being politically biased, and having a primarily left-wing alignment, and often been accused of servility, and favouring the then-ruling Hungarian Socialist Party, which led to the derogatory moniker Párt-kelte.[4] During the first Orbán government, the show was swiftly removed from the MTV lineup and replaced by its own production Ma reggel (This Morning); Nap TV sorted this out by moving to privately owned television. After Péter Medgyessy was elected Prime Minister, the show promptly returned to MTV.
Still, pro-Orbán politicians, public figures and media outlets have continuously criticised the show. On one occasion, during the Kereszttűz segment, prominent liberal conservative comedian Sándor Fábry called the show "a propaganda television broadcast, which has nothing to do on a publicly funded television service".[5] As a result, since October 2006, members of the Fidesz-KDNP coalition have refused to appear in Nap-kelte.[6] Reacting to the boycott, show producers began to invite prominent members of other right-wing parties for their daily interview segments.
Unlike most of MTV's shows, the show failed to keep up with the structural changes happening at the broadcaster. The show used the same cameras and technology for most of its tenure, resulting on a much fainter and worse picture quality than most of the shows at the stations (the show even still broadcast in the 4:3 picture format in the final months of broadcasting, at a time when most of MTV's content was already in widescreen). The show also used the same theme tune for most of its tenure.[7] As a result of this, and partially due to the launch of competing shows at privately owned stations RTL Klub and TV2, which were less elitist in style and more appealing to viewers, many people began to switch over to these shows. Nevertheless, Nap-kelte was still popular with the Hungarian political elites and a very influential broadcast.
A relaunch carried out in February 2006, as well as a smaller one on 2008, caused the show to obtain new studios and a much improved graphics package, as well as a remix of the show's long-running theme music. The show also relaunched its concept to make it more dynamic and snappier compared to before, whilst retaining its focus on current affairs and political interviews. Although ratings improved, the show aired its final edition on September 25, 2009, citing a lack of funding to continue producing the show.[8] The following week, MTV replaced the show with a second incarnation of Ma reggel, which airs until today.