Supercap vs coin cell

Hi all.
I have an app that needs a small uC cct that flashes LEDS. So I need to pwr it with a batt around .375" or less in diameter.

Would super caps be a better solution? I'd hope for around an hour of LED flashing or glowing(colored), probably with the LED being on for up to 7 min at once.

I can use PWM to try to manage pwr drain.


I am concerned about the lifetime of the caps vs batts like the LR44. It depends on how long there is a working voltage, caps drop in voltage fast.

Size for size, batteries have FAR higher capacity than capacitors, and far longer useable voltages as well.

Thx Nigel...seasons greetings!