Consumer product equivalent to a power strip with a 5A circuit breaker?
Circuit protection is for FAULTS, not Regular Usage
If an induction burner is designed for long-term usage then extra circuit protection should not be necessary. If it is NOT designed for long-term usage then extra circuit protection is not enough. For example, leaving anything cooking for a long time has the possibility of all the liquid boiling out, which can result in problems (e.g., fires) that have nothing to do with wiring faults.
Get a Slow Cooker
A Crockpot or Slow Cooker is designed to be used for a long period of time - 12 to 24 hours. It typically includes a base with a covered heating element and a pot that sits on top and is specifically designed to match the base so that there are no exposed heating elements. In addition, the pot itself is often (though not in all brands/types) a ceramic pot that retains heat well and typically has a close fitting lid to help keep steam/liquids inside (though not super-tight like a pressure cooker).