I have experience of visit Govt hospitals 2 times in an emergency situation.
Whatever time was , doctors are available.. and there is no issue of any receipt as well.. wo koi bhi banwa sakta hai but us waja se patient ko nahi roktey.. Govt hospitals me patients count buhat zada hai in wards, OPD, and ICUs
But emergency should be well managed whether its private or govt hospital.
You should talk to some Medical suprident or any senior management person for complaint.. Complaining here or on citizen portal may not be effective place.