Only to try and untangle them as much as you can. I've cut off sections of roots in my hydro before with no ill issues so I don't think it's a matter of saving every teeny root possible. I would make sure your soil is airy (you already have a lot of perlite lol) and your drainage is good.

You said your plant died last time you put it in soil. What exactly did it do? Burn up? Turn yellow? Curl the leaves? Putting it in quality soil is supposed to have a GOOD efffect on your plant....not kill it so lets see if we can pinpoint why that happened as well.

Edit: can you get a photo of the roots before you transplant? I want to make sure the roots are healthy when they go into the soil to begin with or you'll REALLY have problems transplanting.