To the best of my knowledge, the Schaublin collets of E, EX and ESX all had the same taper angle and, ignoring the groove, projected side view (proportions/silhouette) as the later ER collets. They only differed in the presence or absence of the groove that retained them in the nut.
Hence, the Schaublin connection might be no more than sharing a box. It might help to add a picture of the ones you believe to be W20 as if they are not so, it might open other lines of enquiry.
The 10 degree taper is different to ER series collets (8 degrees). The overall length of 45mm is closest to ER40, but the 24mm diameter is between ER20 and ER 25. No ER or close relation has a parallel shank behind the groove.
Hence, the proportions are all wrong for ER – ER collets as a concept are short and fat, your own are are long and slim.