One question the OP seems to be asking that has not really gotten answered here is what specifically you get out of living alone in terms of life skills, and if it is different from what they've already learned from their college experience. I will try!
To me, there are two levels of Independent Living. The first is Basic Functioning Human: basic skills like cooking a meal, doing your own laundry, and paying bills on time. If OP had never had a chance to develop those, I would be advising them to get the hell out and start learning--however, that area has been covered. Excellent.
The second is Full-On Adulthood (or in other words, maturity). This one is a little harder to define but I think a big part of what it entails is what's often called "emotional intelligence" and decision-making. It includes competency at Basic Functioning Skills but also--dividing your time among multiple responsibilities, dividing your budget among a lot of priorities, knowing when to negotiate, when to set boundaries, when to let things go, planning for the future, coping when your plans go awry, knowing how much you can control, managing your emotions appropriately, balancing social norms and your personal ethics, etc. etc. Living on your own isn't the only way to develop Full-On Adult skills, but it often works very well as an incubator, especially since parents would run interference on a lot of this for younger kids and it can be hard for them to shift roles with adult kids.
Is mastering Full-On Adulthood a higher priority right now than building economic resources? That would be up to OP. I would definitely recommend developing these skills before A) getting into a serious relationship or B) investing a lot of money into something (ie, a house). It's not that you can't make either of those situations work without being a Full-On Adult, but boy will it be harder and more expensive if you have to learn as you go, because I have never met anyone who learns this stuff without making mistakes along the way. If OP is hoping for either of those soon, it might be a good idea to accelerate the process.