Hey @F_S,
My understanding is that what will happen is that under the hood ELN.max_iter will be set to 10 (max_iter/max_iters), and tune-sklearn will call ELN.fit() 100 (max_iters) times, with warm_start=True.
The result of each call to fit() can be processed with a Tune Stopper, so if you want more granularity, you may need to increase max_iters.