SATA is already the standard. Since 2017, SATA 3(.0) will probably be used. If there is a SATA cable on the quick-change connector, which then goes to the mainboard, then everything is fine. The only other standard that would come into question would probably be SAS, but this is backwards compatible with SATA and is used almost exclusively in the server market. And U.2 certainly isn't.
So, yes, everything should fit.