You should be fine to mine something like Cryptonote for a while, but with only 4GB of memory stuff like Ethereum is out of the question.
As far as I've researched though the 1050s are not super great for mining overall.
Only 4GB? Even 3GB 1060 cards are still capable of mining Ethereum, and they're usually most profitable mining ETH, with the runner-up being Equihash. The 1050tis aren't as profitable currently on Ethereum compared to Zcash, but they sure are capable of mining ETH.
The 1050 Tis make around $25 per month on Zcash currently according to Nicehash and some other calculators I used, so assuming you get one for the price of $200 you break even in around 8 months with no changes to profitability (which will fluctuate, of course). I've noticed recently even the 1050tis have gone up in price, I recall seeing them sell for near or below $150 just a week or two ago and now they've climbed to $200 on Newegg.
The R9 series was profitable with mining for about as long as I can remember being in Crypto mining, and it still is. Past performance doesn't indicate future performance, though, especially with mining. Nobody knows if the 1050ti will be profitable even a year from now.