The answers you've gotten are not "wrong", but they may not be right either. If you research code throughout the country you'll find that it varies significantly by region. Two areas that specifically can and will vary (there may be more); the requirement to build a floating wall in basements, and insulation.

No walls that you erect in a basement will be load bearing, but if your home and area are subject to soil settling or heaving, you'll want to make sure they don't become load bearing by being pushed up into the joists. That's what floating walls are designed to prevent.

Insulation is different depending on to climate zone and local code. The one thing that a few folks pointed out is to make sure you don't put 2 vapor barriers in (accidentally or on purpose) as this will trap moisture and cause mold.

You didn't say where you live (or I missed it if you did) but if your basement came with an insulation blanket already on the wall, you can actually frame up to that. If it didn't, how cold it gets will determine how much insulation and what kind of framing you want to use.