Sorry to bother you again, i had misinterpreted the Dashboard sign,
Correction is here:
- there are two signs, one is similar to above with "C" written, (used to show "Less/Cool Coolant Temperature")
- second is simple above sign (used to show "High Coolant Temperature")
Both signs are in the below picture:

When you turn On the Ignition, all lights glow airbag, etc. etc. (including that Hig Temperature sign) and then turn Off after a few seconds.
But the "C" sign remains On (as coolant temperature is not at optimum level in the morning usually)
So, in your case , what is the behaviour of the "C" sign ???
as the "High" sign should go away in 3-5 seconds, and "C" should remain On a few minutes depending on coolant temperature.