How about actually put out the effort to make sure they have the right place? On top of that, yes, ring the doorbell in a case like this. It's an apartment. With a few well placed officers there is nowhere for someone to run.
Do you know the record of the individual in the warrant? What are their priors? Unless it is a high-risk warrant, the wanted person is asked to turn himself in to the police. Why do you demand that that police put themselves in such grave danger?
Broken windows theory - Wikipedia
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