This OVA has literally the very same format as the original series. Just this time around the madness goes on for a few minutes longer. So everything you say about the series automatically applies to the OVA. Kill Me Baby is a pure comedy OVA. It never wanted to be something else and it never claimed anything else. It was advertised as such. Just like any other comedy show gets advertised as such and not as a deep Psycological-Horror-Thriller with a Sci-Fi-Twist. There is no continious story going on, cause why the hell should it be. You don't criticize shows like the Simpsons for that neither doyou?
Every episode and every OVA is seperated in 2-3 different adventures that the main characters have. The humour is a mix of crazy dialouges and situations combined with a lot of slap stick. But what really puts this COMEDY anime over the top are the three main characters or better yet the three voice actors. The voice actors are doing an amazing job to make these characters sound as whacky as possible and going the extra retarded mile and I mean that in the most positive way. No "kawai desu", these characters are flat out savage in their manners, even tho those manners differ from character to character. Also some of the background sounds and noises are made by the three voice actors themselves which adds perfectly to the whackyness of the overall premise of the show.

All in all this OVA is the perfect anime if you just want to relax and forget about your everyday life. Or just if you want to have some fun and laugh in general.