They do. There's a reason why so many hunter class guys are using a Sightron SIII. For the last couple of weeks, I've been trying to figure out what scope to use for Hunter class. Most of the hunter class scopes I have are 20x or less, and they all struggled past 40 yards with a lack of snappiness.
I have an older 10-50x scope that also struggles with snappiness (even at 50x). I have a newer version of the same scope that is very snappy at 50x. It finally occurred to me to try this scope at 16x, and it retains the benefit of shallow depth of field at lower magnification. Don't get me wrong, there is a big difference between ranging at 50x vs 16x, but the difference between other scopes at 16x with deeper depth of fields is noticeable.
So, TLDR, the benefit of shallow depth of field for range finding is apparent at 16x. It's not as good as at 50x, but better than other scopes with deeper depth of field at 16x. While researching for my next hunter class scope, my main criteria are shallow depth of field and half mil markings on the reticle.