I just don't think it's a significantly better way of dealing w/the problem than a recursive function that dispatches on the arg type (or whatever) using an if statement or pattern matching or whatever.
The additional complexity doesn't add significant value IMO. I admit that's a subjective claim.
I mean, at some point you can also make that recursive function take an argument, that decides what to do depending on the type of the item, to make that recursive function reusable, if one has multiple use-cases ... but that's basically the same as the visitor pattern. There really isn't much to it, other than programming language limitations, that necessitate a special implementation, "making it a thing". Like when Java didn't have lambdas and one needed to make visitors objects, ergo had to write a class for them.
The additional complexity doesn't add significant value IMO. I admit that's a subjective claim.