I think this would be likely comparable to a scheduled backup, so I think it would be an acceptable maintenance window. However, deterministic algorithms would likely beat re-training (or re-fine-tuning) the model. For example, one could analyze actual distributions or whatever (instead of assuming uniform), and then some plans would automatically be eliminated.
Imo a good thought experiment is to look at places that are hyper-optimized, like compilers. Would LLMs bring anything to the table (architecturally or performance-wise) to a piece of software that has been carefully crafted for decades? (Methinks no.)
As an example, register allocation is graph colouring, and thus NP complete; a model for producing an allocation plan is learning heuristics that might look at more features in combination than the ones hand-crafted into the compiler. An LLM for the job might do better than a more focused model like a GNN, due to sheer size, the effectiveness of transformers, or magic. But it probably won't do an overall better job than the handcrafted heuristics, because those handcrafted heuristics also tend to compile very, very fast with a small memory footprint, and can be debugged (more) easily when they go wrong.
‘create plan llm_optimized …’
‘create view foo (select x, y, z from table bar) with plan llm_optimized’