Well… I wouldn’t say that controller tried to talk him into 35… that was just the first thing he offered, which was the most logical choice.
And he wound up landing 35 anyway.
Yeah, kind of a moot point while handling an aircraft following declaration of an emergency. "Descend at your discretion, the field is yours, cleared to land any runway, do you need any assistance(?)", is EXACTLY what I'd like to hear. This controller (probably out of habit) issued the runway based upon winds while anticipating a normal-ish descent to that runway. Not a spiral down upon reaching the airport.
If fire erupted at some point after informing the controller of the initial plan to circle, the desired altitudes and choice of runway remained wide open for any type of emergency approach and landing that DG desired. Without any further communications needing to be supplied to ATC until requested and able.
I did exactly the same thing when the Mooney ate a valve when receiving Flight Following. After declaring an emergency, ATC gave me a vector (was already rolling out of the 90 degree left turn) towards a towered airport that was clearly in view off the left wingtip when the engine went south. Following the vector, I was then instructed to descend to a lower hard altitude. Nope, informed him that's not going to happen. Kept all the altitude possible, arrived over the airport, then proceeded to spiral down and land on the runway of my choosing.
ATC often does what they are accustomed to doing. Once an emergency is declared the rules change. The pilot should be establishing the structure of supplying information, or requesting assistance. ATC asking "How much fuel remains, souls on board, etc.", can be answered at the time the pilot chooses (or not). Nothing wrong with responding "standby" if there's a higher and more important aviating type priority happening at that point in time.
One of my hot buttons is hearing the tape of a pilot on takeoff who's just lost an engine, immediately jump onto the radio and announce "the engine quit and I'm turning back". Too often that becomes the last words spoken before a stall, spin and fire.