The functions are controlled differently and can have separate faults or operating restrictions. Working ovens do not establish that the induction system is healthy.
What the observation means
A locked hob, pan-recognition issue and complete loss of hob power are distinct observations. Keep the hob display and affected zones separate from the oven's behaviour.
A useful next step
Check only normal owner controls and compatible cookware. Report whether the hob is blank, displays a warning or refuses a particular pan. Do not open the range to compare supplies, and do not assume that replacing an oven control will resolve an unrelated hob symptom.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.