Enhancing Frequency Analysis tool

I would like to request that a few features are added to the Frequency Analysis tool in Audacity found under Analyze → Plot Spectrum

  1. I would like to see the possibility to embed the Frequency Analysis window that pops up, into the main window so that I can see the time, spectrogram and frequency analysis windows all at the same time in the same window without the Frequency Analysis window overlapping the other two
  2. It would be very useful if the Frequency Analysis window could be updated in real time through a button, as we select different portions of an audio track to visualize for each update
  3. I would like to be able to zoom in in the horizontal frequency axis and not just in the vertical dB axis
  4. I would like the size and position of the Frequency Analysis window to be remembered even after closing Audacity

Both these free analyzer plugins can do that
https://www.voxengo.com/product/span/
https://www.tokyodawn.net/tdr-prism/