Sounds like a phishing expedition-
Worth calling them out,
I'm ethically and contractually bound not to disclose specific details around this work.
At a high-level I'm doing A)B) & C.
I imagine you expect the same standard from your team members.
Then turn the questions on them-
Relative to this role, help me understand what you're trying to accomplish.
What are you priority needs/wants? What does success look like?
As for your Job Search -
Don't focus on companies and openings.
Instead, look for the guy you can best serve.
There's a Senior Manager/Executive out there who needs your help.
On this, Linkedin Profiles are actually a useful tool.