Jürgen,
I recommend rasterizing the dataset in Mathematica and controlling the output. I started with a dummy dataset.
dataset = Dataset[{
    <| "min" -> <|"aaaaaaaaaaaaaaaaaaaaa" -> RandomReal[], 
       "baaaaaaaaaaaaaaaaaaaa" -> "xxxxx", 
       "caaaaaaaaaaaaaaaaaaaa" -> RandomReal[], 
       "daaaaaaaaaaaaaaaaaaaa" -> RandomReal[], "e" -> RandomReal[], 
       "f" -> RandomReal[], "g" -> RandomReal[]|>|>,
    <| "max" -> <|"aaaaaaaaaaaaaaaaaaaaa" -> RandomReal[], 
       "baaaaaaaaaaaaaaaaaaaa" -> "yyyyy", 
       "caaaaaaaaaaaaaaaaaaaa" -> RandomReal[], "e" -> RandomReal[], 
       "daaaaaaaaaaaaaaaaaaaa" -> RandomReal[], "f" -> RandomReal[], 
       "g" -> RandomReal[]|>|>,
    <| "median" -> <|"aaaaaaaaaaaaaaaaaaaaa" -> RandomReal[], 
       "baaaaaaaaaaaaaaaaaaaa" -> "zzzzz", 
       "caaaaaaaaaaaaaaaaaaaa" -> RandomReal[], "e" -> RandomReal[], 
       "daaaaaaaaaaaaaaaaaaaa" -> RandomReal[], "f" -> RandomReal[], 
       "g" -> RandomReal[]|>|>,
    <| "SDSDSDSDSDSDSDSDSDSDSDSDSDSDSD" -> <|
       "aaaaaaaaaaaaaaaaaaaaa" -> RandomReal[], 
       "baaaaaaaaaaaaaaaaaaaa" -> "xxxxx", 
       "caaaaaaaaaaaaaaaaaaaa" -> RandomReal[], "e" -> RandomReal[], 
       "daaaaaaaaaaaaaaaaaaaa" -> RandomReal[], "f" -> RandomReal[], 
       "g" -> RandomReal[]|>|>,
    <| "var" -> <|"aaaaaaaaaaaaaaaaaaaaa" -> RandomReal[], 
       "baaaaaaaaaaaaaaaaaaaa" -> "yyyyy", 
       "caaaaaaaaaaaaaaaaaaaa" -> RandomReal[], "e" -> RandomReal[], 
       "daaaaaaaaaaaaaaaaaaaa" -> RandomReal[], "f" -> RandomReal[], 
       "g" -> RandomReal[]|>|>,
    <| "max" -> <|"aaaaaaaaaaaaaaaaaaaaa" -> RandomReal[], 
       "baaaaaaaaaaaaaaaaaaaa" -> "zzzzz", 
       "caaaaaaaaaaaaaaaaaaaa" -> RandomReal[], "e" -> RandomReal[], 
       "daaaaaaaaaaaaaaaaaaaa" -> RandomReal[], "f" -> RandomReal[], 
       "g" -> RandomReal[]|>|>}];
Rasterize the dataset to whatever resolution and ultimate size you want.
dataRasterized = 
 Rasterize[dataset, ImageSize -> 1000, ImageResolution -> 300]
and create the PDF file from that:
Export["mypdf.pdf", dataRasterized]
Regards,
Neil