In some circumstances, it can be useful. If, in the use of the knife, you notice the edge seems weak & unstable, that can be an indicator of damaged steel near the edge. It might be from heat damage, as happens with brand new blades from factory edge finishing or deburring. Or, if it's a well-used kitchen knife that's been 'steeled' frequently for edge upkeep, the steel at the apex becomes weakened & brittle from too much work-hardening (bending back & forth on the kitchen steel). In circumstances like that, it's necessary to take that weakened steel off the edge before resharpening. And lightly drawing the edge across the stone, veritically, is the quickest way to do that. In more extreme fashion, if a 'steeled' edge becomes excessively recurved from all that steeling - and they do, eventually - the same method can be used to grind the recurve out of the edge and get it straight again. But that's where a lot more grinding would have to be done.
But, if you've been using the knife and you already know it's been working pretty well and doesn't seem weak at the apex, you don't necessarily need to do this every time you resharpen.