I got a sample of a transparent TPU sheet from a German shop: https://www.diekleinewerft.de/TPU-Folie-152cm-breit-038mm-dick-semitransaprent
(They also have TPU tubes for making bladders.)
Unfortunately, this TPU has a much higher melting point than Matt’s fabrics. Since the material has not a fabric backing it warps if its heated and the warps stay if it cools down.
So in order to use this as a sort of patch you would want a TPU with melting point similar to your fabric TPU, heat it uniformally until it melts then press down until it recristallizes to prevent warping. In my opinion there’s no upside compared to using a single coated TPU fabric as a patch.
In theory one could try to melt this TPU until it liquefies and then paint it piping hot. In this case the high melting point of this material might be an advantage since it would easily bond to Matt’s TPU.