Assuming I am successful entering through the e-gates, how will they distinguish if I am re-entering as a tourist or a resident?

Hi all, my in-country Tier 2 change of employment visa was approved last Monday. I was told I would receive the BRP within 7 days, which have lapsed (it's now Wednesday). The BRP delivery delay is making me anxious as I have urgent family travel. I have a non-EU passport that allows me to use the eg...