Then the answer is no, you can get better accuracy from 17HMR but it costs a lot more than 22LR, I love mine but I don't care how much ammo costs. One of my rifles is a 338 Lapua so everything else seems cheap to me.
If you get into reloading 223 just to make it cheaper you will be buying cheap bulk components and that's not going to give you the accuracy you want. If you load with good bullets and take the time to prep your cases well you're going to spend a lot of time at the reloading bench and it will cost you close to the same as just buying bulk.
Then you need to factor in the cost of a new rifle. Most 223's are going to cost you $1000 minimum and they will work but if you want something decent you will need to spend $1200-$1500 to get a decent AR and $2000 or more to get a good AR or a decent non restricted rifle. To get a high end non restricted 223 it will cost $2500 or more.