I have a 1999 accord EX-V6 without traction control. I mount 4 snow tires every winter season and the car has been preatty good in the snow.

You have traction control which improve the snow driving a big deal.

Like nspec said, keep the car. It is a good solid vehicle to drive.

Traction control uses the brakes to control slippage. in a FWD if one wheel slips, it will apply the brake on that side putting pressure on the differential to switch control to the other wheel.

It is a myth that if you have a 4-WD or an AWD vehicle you can drive in any weather condition without being carefull how you drive. Even with an all wheel drive vehicle you will need to pay close attention of how you drive. And which tires you have on.