I get you :) I have the feeling that the industry is going ahead with baby steps while developers like you need stable multiplatform technology to implement their groundbreaking ideas. I will push ahead the multitasking ideas we have. One idea we played around with is being able to extract specific parts of a webpage and compile a new tab containing all the information you need -
while all the extracted elements stay dynamic. This video tries to illustrate the concept for 2D but it would be basically the same in VR if the websites are flat: https://www.youtube.com/watch?v=ppDguFFws9U
I looked into your ideas and they are something, my team (LensVR browser UX team) has been researching. We are looking to find what would be the best browsing experience for VR. For now, we have done a few prototypes on a "customizable" website, multitasking and VR bookmarks but I am looking for more ideas on what to try next. Get back to me if you want to chat more about your ideas.