Most, if not all active antennas are powered via the antenna connection on a single shared lead. It is easy to isolate the RF signals from the DC power component.
The schematic for the SparkFun RTK Express - GPS-18442 receiver that you asked about clearly shows the power connection and is stated to be compatible with this active antenna: https://www.sparkfun.com/products/17751
I think you can be confident that the antenna will work with the receiver of your choice, but it would be best if Sparkfun employees responded more promptly to a potential sale.
The GPS-21801 antenna is an excellent choice for the RTK Express (GPS-18442). The Express outputs 3.3V via the SMA connector to power the antenna. You will need an SMA-TNC cable too: CAB-21739 (300mm) is useful if you are mounting both the antenna and Express on a survey pole; CAB-21740 (10m) is a better choice if the antenna will be outdoors and the Express indoors.