Thanks for the video and all the other posts with info. And thanks to everyone else who provided help.
Because I wasn't sure what the problem was, the next morning I took the tank to the local MC shop. They came to the same conclusion and replaced the parts.
They charged me the same prices that I saw online and only $25 for their labor. They got the genuine Honda parts quite quickly and no shipping charges.
They also replaced the filter which I was unaware of until I saw the video you provided.