Currently local overrides work for same domain or content that is not validated against security policies.
For instance, it is not possible to override a font file (for instance, to test subsets or variants in compression) due to LO sending the file without the Cross Origin headers it has when served from its origin.
To make full use of LO Chrome should either allow to add custom headers or playback headers sent from the origin server (either by caching them or by preflighting the resource)
Looking forward to your feedback.
I can provide a real world example.
Matteo