You know this problem is because the random ~21600ish leaders are distributed randomly within 432,000 slots with potential for large gaps. You aren’t just picking random secret leaders you are also picking random block cadence.
Fine, for Leios I’m recommending a random secret leader with 21600 slots/epoch for RB’s, a random secret leader with 42,300? slots/epoch for EB’s, and a random secret leader with 432,000 slots per epoch for IB’s. It seems I will have to continue to improve my communication to get this idea across.
Random secret leader with deterministic cadence.