When I switch projects using the console dropdown, and then click on the Integrations / API Keys tab, the console returns to the previous project.
I recorded a video demonstrating what happens, using Project1 and Project2 as an example.
TL;DR
Developers experiencing bug where switching projects in console dropdown reverts back to previous project when clicking 'Integrations / API Keys' tab. Video recording of issue with Project1 and Project2 provided.