Since the cops don't have any evidence linking him directly to the murder, and because he does a nose dive, I'd think they might tread lightly.
They might check on him in the hospital to see if he's up to an interview.
And to top it off, they might go easeysince he's a lawyer and would know not to talk to cops without legal representation.
The scenario as you describe it gives you some leeway whichever way you want it to go.
Dave