It’s a huge problem. The warrant is the document the absence of which lets the public know something wrong is being done to them. A warrant is not just a term for judicial approval.
The public must have the ability to easily verify police conduct is appropriate, and it must match the cadence of the police work.
> The warrant is the document the absence of which lets the public know
Er, the warrant is still there to be examined later, no? It's just not necessarily shown to the subject at the time of investigation.