AE is carrying out far more calculations per frame than Premiere – so its a less responsive experience – I would never cut audio in AE;
There are ways of making AE more efficient (in terms of RAM, memory etc) but at the end of the day your never going to get a Premiere like experience in AE.
Using the audio waveforms in AE, as well as markers, can also make things easier – you dont really need to hear the track if you can see the waveform…
In the end it is quite a personal choice – but with anything longer than 30 seconds – id personally usually end up using Premiere>AE link.