Then in the late 90's and early 00's you almost got alarm clock at "Dollar Stores" for $15, and for really cheap pocket FM radios, you could get them as prizes with sodas and such, as a marketing scheme, with the soda logo printed in the device.
With no internet, often you were in $REMOTE_FORGOTTEN_RURAL_VILLAGE and the TV antenna didn't have tons of nearly TV repeaters/relays, you would love some FM/AM radio with cool stations reaching over 100 and 200 kms in case of AM ( I remember to listen heavy metal/gothic metal stations from Portugal in Spain within 100 kms from the border ). In Spain, either boring national and international pop radioformula, or soccer past dinner everywhere.
Oh, btw, one thing I hated from these clocks it's having to reset the time because it was misconfigured on a power cut. Nowadays they could just put some firmware and flash it for 0.0001 euros per device, if not less.
I think some more advanced ones ran an internal “UPS” on 9V.
Effectively a relay that would be held by mains and fail to 9V if the power went out with some replacement 60hz signal.
As I recall, it would run the sound alarm but not the display.