First off.
FM and TV use very different frequencies. An aerial designed for Tv reception will receive b' all at FM frrequencies. in fact you will probably pick up more signal via the downlead!
Secondly.
There is no guarantee that your TV aerial is pointing in anything like the right direction for radio. Not all radio and TV transmitters are co-sited. And not every radio station you can receive at your location will share a site either.
Thirdly.
Using a passive splitter when you already have weak Freeview reception is not a good idea. All passive splitters attenuate the signal by some degree or another. The metal bodied types with F Type sockets on tend to be the best. Those horrible white plastic Y shaped jobs should be put up against the wall and shot

They should certainly never ever cross the threshold into your home and go anywhere near your TV lead.
Basically you are in a no win situation. Your TV aerial is totally unsuited for radio. And you are likely to make your TV reception much worse. If you want to improve radio reception by far the best option is to install a proper aerial designed for the job.
You can get units to combine radio and TV aerials at the masthead and splitters to separate out the signals in the living room. But they may introduce a bit of loss. So you have to weigh up the possible consequences to your TV reception over running a separate aerial lead for radio.