If you're proposing to make an app for internal use within your lab, then it doesn't need to go through App Review.
As @KTRosenberg points out, Apple have said that they are not exposing eye tracking information. But clearly the device does track eyes and some levels of the software have access to that. It may be that access to the eye tracking data is controlled by an "entitlement". It's possible that you may be able to enable this entitlement for your own not-app-reviewed apps. It may even be that they will have a system where you can apply to enable this entitlement for reviewed apps. Or not.
If I were you, I'd file a bug asking for access to eye tracking data enabled by an entitlement that you can enable for your own devices.
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Developer Tools & Services
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General
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