You cannot build a budget rig on Intel and Nvidia parts, there simply aren’t making good price to performance products.
That's gotta be a very specific regional thing for you, because the B580 has had many periods of being the budget goto for new cards being sold.
Then, for the 5060TI 16GB, which is sorta budget now, like low to mid budget, competes against the 9060XT when you consider.... things like this, wider DLSS coverage, greater chance of game devs optimizing for it and total system price.
I do also kinda see only 16gb+ GPUs as viable... and I guess the 12gb 5070 if a gun was put to my head.
At the budget end further than that though, its gotta be used.