Some of Sauter's work is swinging, such as the Goodman stuff. But it seems when he is given free rein he goes toward a kind of neo-classical orchestral style of writing which strays pretty far from the jazz tradition. I guess I'm an old fogey but I like a fair amount of toe tapping kind of thing in the music I listen to. I am going to give Sauter some more chances. My first impression is maybe not my cup of tea...
I had missed this radio show the earlier times round, so it is a nice reminder. Just one detail about the script about your show that's accessible under your link: Eddie Sauter made much more of a splash here on the German jazz scene than is apparent from your rather short mention of his activities in Germany. And he really added a asting page of history to late 50s jazz here. As for the reasons hinted at why his stay with that radio big band ended, it is certainly much less "problematic" than your text sounds. It all boiled down to the permanent problem that no big band in those settings could survive at that time on an all-out jazz repertoire, so a percentage of more commercial "dance band tunes" had to be accommodated. And this contrast probably grated Eddie Sauter more in the long run than it would have certain other band leaders. But it wasn't really a question of the perception of the quality of Sauter's work as such by the deciders.
Recommended listening for everyone: the 2-LP set "Eddie Sauter in Germany" on Big Band International 2706.
BTW, admittedly I have not looked in detail at the texts accompanying your shows past and present for some time, but I see now that you no longer have a setlist of the tunes broadcast during a show (so that the readers can check beforehand what they will be listening to). Pity, because these setlists came in handy ...