You don't have to, but if you're paying for AOS don't be a moron and do it anyway. It's a short form and you never know when you'll need to work or travel (I-131) . You never know what delays may arise. For example I thought my green card would take 6-8 months max but my local field office is behind and now I have to wait 15 months. If I didn't have my EAD I don't know what I'd be doing.
TL:DR if you're paying the $900+ fees to adjust your status, the I-765 and I-131 are included in it for free. Don't be stupid and take the extra 5 minutes and 4 pictures to fill those out.