JSFiddle - React, Tailwind, and code Playground

HTML

<ul class="woof_list woof_list_radio">
<li >
    <input type="radio" id="woof_72_55cb07a61800a" class="woof_radio_term" data-slug="elektronik" name="product_cat" value="72">
    <label for="woof_72_55cb07a61800a">Elektronik <span>(812)</span></label>
</li>
<li >
    <input type="radio" id="woof_113_55cb07a741fec" class="woof_radio_term" data-slug="pompa-air" name="product_cat" value="113" checked="checked">
    <label for="woof_113_55cb07a741fec" checked="checked" style="font-weight: bold;">Pompa Air <span>(29)</span></label>
</li>
<li >
    <input type="radio" id="woof_184_55cb07a7513ac" class="woof_radio_term" data-slug="brand" name="product_cat" value="184">
    <label for="woof_184_55cb07a7513ac">Brand <span>(814)</span></label>
</li>
    </ul>

JavaScript

$('input[type=radio]:not(:checked)').hide();

    $('li').on('click', function () {
        $('input[type=radio]').show();
        $('input[type=radio]:not(:checked)').hide();
        
    });