Not at all
Some leaks seal up as the engine warms up. This is called “cold start run troubles” in the diagnosis chart of any manufacturer troubleshooting.
E.g. your rubber insert gasket of the intake manifold may leak when dead cold and seal up as the cylinder head warms up sealing the intake leak. Such issue is difficult to “quickly diagnose” because of its nature.
This is why such diagnosis may require overnight cooldown to start.
Cmon, you guys have a simple egg and potato corolla engine, its so simple that even a half drunk mechanic can diagnose it with basic tooling.