Thank you for your interest in my post. Your questions make me hopeful that you've got experience that can help. I'll answer your questions, grateful for whatever insight you can provide.
You asked if in my opinion, I have CS who should not have a warrant. No, in my opinion I do not; however, the teams I oversee are just a portion of the overall organization (140 people on my teams, out of 750 total).
My teams handle: IT systems and equipment (ranging from $1 million to $100 million), real property leasing (700 locations, CONUS, typically less than 20,000 sf), international programs (up to $250 million), education center support (construction <$10 million, support services up to $50 million), field support (up to 20-year, $500 million and higher).
Currently, we employ a mix of approaches; however, senior leadership seeks consistency, in particular driving toward a model where officers review and sign for specialists.
I hope those answers provide the additional context you need. Thank you again for your interest!