I do not possess enough knowledge of Haslinger to challenge your assertions, but others have been adamant that all Haslinger soaps were tallow-based until just a few years ago when they quietly introduced veg-based formulas to proactively align themselves with what they saw as the "writing on the wall" in Europe regarding animal welfare philosophy.
Certainly, I agree that they don't claim to be a Vegan company, or even tout their soaps as Vegan. How can they when they produce a sheep's milk soap?
Until a few years ago all Haslinger soaps were tallow. However, shaving soap is a very small catagory of what Haslinger offers. They have been systematically moving their products to vegetable base for years, long before the EU movement. The shaving soap line was the latest to move and I believe it took this long because the shaving soap line is their smallest product catagory. I doubt 5hey make a great deal of revenue from shaving soap and I am glad they put such great effort into getting the new formula right. They might just as easily have dropped the line altogether.