This RF amplifier will simply overload the input of a cheap radio and will simply add noise to a good quality very sensitive radio.
It was probably designed 50 years ago when there was only a couple of weak far away FM stations.
A cheap radio is made with poor sensitivity so that it is not badly overloaded by strong local stations and to avoid interference from strong local stations on weak adjacent stations because its selectivity is poor. My cheap Sony Walkman radio has a local/distant antenna attenuator switch. In the "distant" position the strong local stations are smeared all across the dial.