You've actually measured that or are just going off the label?
It's just nominal (the same way regular lithium [cobalt] rechargeables are 3,7 or 3,8 or 3,6 V), it's well established the in-console charging electronics accept 5 V fine
There's a good chance they're the same thing, written in a way to make clear to the noob it has a
maximum output of 3 A... and indeed the current rating of any* power supply is just a maximum supported, the equipment provides the load it wants to and generally@ it doesn't matter what it is as long as it's under that maximum
@ in practice most power banks, unregulated power bricks, older switching power supplies, ... do not work ideally or at all at very high or low loads, but a quality 5 V source will not be an issue for this project
* actually that's
any (theoretical) constant voltage and real-world approximations, as there are constant-current power sources and other kinds, but the typical battery and phone/PC/console power bricks are constant voltage