Hello Marilena,
Do you have an experience where the FLL did not attempt to regain lock?
The ICS should continue in the currently selected mode, unless there is a reset. Using the internal reference, any loss of lock will be temporary, maybe due to a step in Vdd voltage. I can't think of any other causes.
Using an external reference, loss of this reference, for any reason, would cause loss of lock and loss of clock. However, a reset would need to occur to revert to FEI mode. Under these circumstances, using the independent COP clock source would eventually result in a reset, as you suppose.
Regards,
Mac
.