Exactly. Op, speaking from experience here. From what I've seen the RX 480 and RX 570 are nearly even in performance.
I used to own an RX 480, and sold it during cryptocurrency mining to make some money. For a temporary replacement, I purchased a 1050 ti. Trust me when I say, the 1050 TI is an ENORMOUS step back from the RX 480. If the RX 570 can run close to equal with an RX 480, you should not even consider the 1050 ti. There is no contest. Similar price, but completely different class of card performance wise.