During a flight yesterday, the approach frequency for a local Class C was unusually busy. I was heading back to an underlying Class D and the frequency finally quieted down enough for me to poke in a call of Huntsville Approach, Cessna 123AB, VFR with request.
ATC responded with <identifier>, remain VFR. I am not positive whether he gave the full callsign or just Tree Alpha Bravo — either way, definitely not Aircraft calling. He did not instruct me to remain clear.
I understand that radar advisories are workload permitting for VFR traffic, and clearly ATC had all the workload they could handle. Does that reply establish two-way radio communication and thus permit entry into their Class C airspace, just without flight following? What if the reply had been Tree Alpha Bravo, remain VFR? Assuming it does establish two-way communication, is it good Aeronautical Decision Making to fly into known busy airspace without advisories?
Rather than requesting confirmation on a busy frequency, I descended below the shelf feeling like a scud runner. Approach and landing at the Class D were otherwise uneventful.