Is "Switch" really required when updating from v5 to v5 compat mode?

[rodoabad]

I actually added <Switch> and my routes stopped working.

import {BrowserRouter as Router, Switch} from 'react-router-dom';
import {CompatRouter, CompatRoute} from 'react-router-dom-v5-compat';

<BrowserRouter>
  <CompatRouter>
    <Switch>
      <CompatRoute exact component={<Home/>} path="/" />
      <CompatRoute exact component={<A/>} path="/a" />
      <CompatRoute exact component={<B/>} path="/b" />
    </Switch>
  </CompatRouter>
</BrowserRouter>

With Switch, routes A and B does not render anymore when I'm in 0.0.0.0:8080/a or 0.0.0.0:8080/b.

If I remove Switch then my routes started working again.