Here's some information that I received from Daimler several years ago (09-10-2000).
In the one paragraph it mentions a "605 T-Motor". It shows a chart with the different model DB-605's.
Interestingly enough there were DB 601T, DB 601P, DB 603T & DB 603P, but no "TP". My German is lousy, I haven't tried to translate it.
This info is from "Flugmotor und Strahltriebwerke" by Kyrill von Gersdorff, Kurt Grasmann, Bernard & Graefe Verlag Munchen.
The contact at that time was,
DaimlerChrysler
Uwe Heintzer M. A.
Classic Konzernarchiv
uwe.heintzer@daimlerchrysler.com
DaimlerChrysler AG
HPC G328
D-70546 Stuttgart
Telefon (07 11) 17-5 30 94
Stra
ßenanschrift:
Mercedesstra
ße 137
Stuttgart-Unterurkheim
Regards,
Mike