Apart from many other specifications, reception pattern and phase center are two parameters that should be considered more for the dual band applications. Variations in these parameters with frequency could lead to erroneous results, so these two can be good candidate for metrics in dual band applications.
You should take a look at the CTIA Test Plan for Wireless Device Over-the-Air Performance, https://ctia.org/docs/default-source/certification/ctia-test-plan-for-wireless-device-over-the-air-performance-ver-3-7-1.pdf. There you'll find the radiated performance criteria being applied to GPS receivers in all wireless devices. You'll note that they're concentrating on the total isotropic sensitivity (full integral of the receive sensitivity (EIS) pattern) and subsets of that for the upper hemisphere where the satellites will be located. Note however that this if or a complete device and thus marries the performance of the antenna, receiver, and any platform interference from CPU and display components as well as other radios into one single performance metric.
If you're asking about antenna performance solely, then in addition to the pattern related factors (e.g. how uniform of a signal do you receive from the upper hemisphere) you also need to consider antenna efficiency (internal losses, VSWR/mismatch) as that will tell you how much of the energy impacting the antenna reaches the receiver.