VG-10 is a good stainless steel and a solid choice for EDC knives. 8Cr13Mov is significantly less good but nobody is suggesting that here. The Baklash uses 9Cr18Mov. I think VG-10 is a little better but by how much, I'm not sure. The steel is just the ingredient. Its inherent properties matter but what the maker can get out of it with good blade geometry and a proper heat treatment also matter. At least in Civivi's case, you'll be getting the most out of that 9Cr18Mov.
In other words, for however much better VG-10 is than 9Cr18Mov; I wonder how much you'll actually notice that difference in normal EDC tasks. You might notice it less than other factors like ergonomics, action, blade shape, etc. Between the Baklash and the Begleiter, I'd let those other factors make the decision.
BTW, here is a chart comparing 8Cr13Mov, 9Cr18Mov, and VG-10. Notice that both 9Cr18Mov and VG-10 are a big step up from 8Cr13Mov.