Yes, I totally agree with your comment here. It is sad to see a great console get parted out and left as an empty shell. It would be really great to see someone start an organization that could buy up older consoles and maybe donate them to worthy organizations, community groups, music schools, etc. The console could a have second lease on life.
My experience of working with charities and similar organisations is that they will not necessarily be able to use a donated old large frame analogue console, even when one donated in good working order would be ideal to replace the existing equipment in various states of disrepair, and initially would be a nice change from the various existing consoles I find all patched together to achieve a higher channel count.
The main issue is simply maintenance and upkeep. The organisations I have worked with or volunteered at have enough problems keeping their doors open, to the point where any faulty equipment that cannot be easily fixed by a non-specialist goes unfixed as there is no budget available for repairs.
A youth project close to me that opened less than 10 years ago came close to closing recently. It cost a lot of money to start, which mostly went on a very expensive studio as well as live equipment and practice rooms fully kitted out.
Whilst there was plenty of money for the initial startup costs, the running costs (mainly bills and staff) were dependant on central government, local government and charity every year. Finally a change in government led to cuts all round and this much used and appreciated facility looked set to close, eventually getting a last minute reprive when they rationalized running costs.
Meanwhile inside the studio is a valuable and barely used medium sized digital recording console, which is used only for its head amps going straight into Logic. Since the mixing is all done in the box now, it could be sold and replaced by a couple of ADA8000s or similar, and that would free up enough money to fix and replace all the broken kit used for live events and practice rooms. However they are not allowed to utilize assets like this, even when it would produce a significant benefit to the whole place. I have encountered similarly restrictive rules elsewhere.
I could imagine other places with less technically knowledgeable staff accepting a donated large analogue console, not realising the potential upkeep requirements. Eventually the donated item would live in its flight case and serve as a desktop for the working equipment owned and brought along by a volunteer like me.
I'm sure there are some circumstances where your idea would work properly, but my experience of working with worthy organisations is that they cannot afford to fix broken equipment they already own, and that they struggle to afford the required PAT testing each year that's needed to use any electrical kit in public buildings.