There was a link earlier in this thread to a page detailing Target's implementation of CurrentC, and the listed acceptable payment sources were limited to cash, CurrentC, and the Target branded RedCards. I believe once MCX is rolled out, the retailers won't be accepting non-store-branded CCs, but I may be wrong about that. It seems that they wouldn't, though, because one of the stated reasons for developing CurrentC was to bypass the higher CC rates for the lower ACH rates. Maybe those additional store-branded cards will come with lower transaction rates as well.
Either that, or while their store-branded cards are charged the same higher CC rates, they're counting on enough people to use the CurrentC payment to offset them.
But, I have a feeling bypassing those higher CC rates is only a part of reasoning and their main purpose is to gather and keep as much personal information about their customers as possible.
Store branded cards probably have lower rates. When I worked at Target 10 years ago, we could only use our employee discount on gift card, cash or Target credit card. Not on regular credit cards because of their transaction rates.
Anyways, if MCX retailers stop taking Visa/MC/AmEx altogether, they will lose a lot of business. I don't care if they take ApplePay or not, I'm not going to throw a tantrum over it like some members here. But if Target stops taking regular credit cards, I will be shopping elsewhere.