The short answer

Air sealing and insulation solve different problems. Air sealing reduces uncontrolled movement through gaps around top plates, plumbing, wiring, recessed fixtures, and attic hatches. Insulation slows heat flow across an already reasonably continuous boundary. If you add insulation over large bypasses, the attic can still leak air and the new material can hide the places that need attention.

A useful inspection sequence

Observation More likely first action Why it matters
Visible gaps around pipes, wires, or the hatch Investigate air sealing A gap can move conditioned air and moisture.
Insulation is thin but dry and continuous Plan an insulation-depth improvement The thermal layer may simply be undersized.
Darkened, wet, compressed, or mold-like material Stop and investigate moisture Adding material can conceal a building problem.
Bathroom fan terminates in the attic Correct the exhaust route first Moist exhaust can damage the assembly.
Recessed lights or wiring are unclear Pause before covering Clearance and heat concerns need identification.

Do not use a single ruler measurement as a whole-house diagnosis. Record depth in several areas, note compressed sections, and inspect the hatch, perimeter, and penetrations separately. A cold ceiling edge can also reflect missing perimeter insulation or wind washing rather than a uniformly low depth.

Planning the work

Ask for the proposed air-sealing locations, insulation type, target depth, ventilation treatment, and cleanup plan in writing. Keep access to electrical junctions, valves, and service equipment clear. If the attic contains vermiculite, visible water damage, suspected asbestos, or unsafe access, stop the DIY portion and obtain qualified advice.

Limits

This guide does not set a local code requirement or prescribe a depth for every climate zone. It is a planning aid, not a blower-door test, energy audit, or electrical inspection.