Why do you think "something rather than nothing" question doesn't make sense?
I adopt ontological anti-realism and do not stray into "existence" claims because they simply raise too many methodological issues. The quotes here are important because I don't have an intuitive understanding of what people mean when they say "exists" in the first place.
You could rephrase "Experience exists" as "Humans experience" or "I experience," which is analogous to Cogito in Cogito, ergo sum but without the ergo sum. There's a subject and a predicate already, and "exists" adds nothing.
If you want to make substantive claims about what does or doesn't exist, your views are subject to relatively straightforward reductio ad absurdums. This is demonstrated pretty clearly in On What There Is.
> Why do you think "something rather than nothing" question doesn't make sense?
"Something" = quantifier, "nothing" = quantifier, existential "is" = quantifier. Again, I would insist on a predicate here.
The general notion of existence, at least in natural language, seems to be a shorthand for quantification or negation. I'm not sure what it would mean for "existence" to exist, short of adopting Platonism or some bizarre metaphysical system.
The "something rather than nothing" question, if stated coherently, would likely be beyond the scope of human knowledge. Although ultimately I don't think it can be stated in a way that makes sense.