The Klingon redesign was Fuller's idea, but Discovery season 1 overall was very different from what Fuller had envisioned.
The core MacGuffin of season 1, spore drive, was not Bryan Fuller's idea.
The mycelial network and fungus spores were about terraforming, not space travel.
Discovery did not spin.
The Tardigrade was supposed to be an intelligent alien crew member.
The design of the bridge and uniforms was more inline with TOS:
The story that Fuller blow the budget is very nebulous.
Fuller was fired in October 2016. They hadn't build the sets nor made the costumes yet.
Principal photography only began on 24 January 2017. After Fuller supposedly blew the budget they still had enough money fly to Jordan to film the desert scene for episode 1?