Jim Carter wrote:

If the aircrew "needed to get on the ground right away", why did they
overfly other suitable airports? That action alone could have suggested to
ATC that this wasn't that big an issue. Love Field has equipment to deal
with air carrier class aircraft and they flew right past it even after being
asked about landing there.

I don't know. It isn't relevant to what happened. During a declared
emergency the PIC gets what he or she needs. The questions come later.
That didn't happen in this case and that is all that matters.

Matt