This is what one would expect because web browsing (http) is "stateless" -- unless the Brennan B2's built-in web server were to be programmed to intentionally do more than just serve up pages.
Here is a concise explanation/description which I found online:
"A protocol is stateless if there is no relation between subsequent
request-response pairs. The server can handle each request uniquely and
does not have to keep track of a session state for the client. The HTTP protocol, which is the communications vehicle for Web
transactions, is stateless. After a web page is delivered to the user,
the connection is closed. Mechanisms, such as the use of cookies,
have been developed to maintain the state of a user moving from page to
page on a Web site."
With the Brennan B2, one can use the web interface from a browser on one machine and, a moment later, connect from a different machine. The Brennan B2 just serves up pages as requested and takes instructions. (Although possible, it's probably unwise for you and your spouse to connect to the Brennan concurrently from different devices while arguing over what's playing.)