I think there are 2 groups of users for hands free browsing :

people in office: I am a mechanical engineer and mostly my desk is filled with reports, papers, drawings, prototype products, ... if I want to search information on the internet it is a great help I don't have to look for the keyboard and the mouse
people with medical disabilities and less motoric functions: here is an improvement point I think - these (older) people sometimes have a weaker voice and this affects understanding negatively

You can set the microphone level fully open but sometimes this is not the solution.

There is a freeware utility "VoiceMeeter": a kind of microphone equalizer that allows to set microphone level higher without increasing background noice level

Could this be integrated in the extension? Or must the user arrange this separately?

Also in offices it is good that people can talk with low voice while using hand free browsing in order not to disturb collegues .

We also talked about "strong" command words: Google Speech understands some words better than others

For example: "overview" works better than "list"