Good question - in my view we should not have a policy against hand-drawn schematics, because:
- The built-in editor is not available on touch devices (phones, tablets etc.). We shouldn't force people to only use PCs / Macs to ask questions on the site.
- Users who have got a perfectly acceptable hand-drawn schematic would be disadvantaged.
Instead, let's address the real problem, which is unreadable schematics, right?
In those cases where a schematic is too poor to be readable, then yes as you said, close the question (as "needs details") until a better schematic is provided. That seems appropriate, since if the schematic is unreadable (and assuming that a schematic actually is needed for that question) then "needs details" would be a suitable closure reason.
That gets the results we all want (i.e. good enough schematics for people to understand the question) but without unreasonably insisting on EDA schematics, for those people who have got a good enough hand-drawn diagram.
Or to put it another way, if we do create a policy, it should be that any schematics must be readable. It could warn that hand-drawn schematics need special care to be readable - lighting, contrast, symbols etc. and it could warn about whatever problems you've been noticing that made some of them unreadable.