The veracity of this report notwithstanding, Fisher should be on the hot seat.
After 5 years we are stuck in the same position we were in after the first year. In fact, the first year is the only year we saw significant team-wide improvement. Since then it's been a step backward for every step forward, and many of the same, coachable problems that dogged us then still dog us now. Furthermore, at the team's most important position he is dragging his feet on a guy he gave up the better part of a draft to obtain, while making every excuse in the book to continue playing the current starter. He's shown no willingness to change his approach when things aren't working on the offensive side of the ball, and if you look at his history, his offenses have at best been middle of the road. With the Rams they have consistently been below average, and currently, it's scraping the bottom of the barrel.
It's just not acceptable any more. At some point you have to realize you are not going to move forward with a guy, and you've got to replace him to take the next step. Unless he makes significant changes to his approach to some things - his 20+ year history suggesting that's unlikely - then it's time to move on.