You may want to check out stackoverflow for a general question about local/session storage, answer .
If data is saved on a subdomain, it won't be accessible by another subdomain. The linked answer mentions techniques for gettering around this. As a possible solution from within Launch, you could dynamically update all href's on the relevant <a> elements (dom ready) to include a customized query strings based on data elements or some other custom code. And then add additional logic on the new page to read from the query string.