I got involved in public safety in 1976 and as I recall everyone was trained that they were NEVER permitted to use “Chokeholds” unless they were fighting for their life and were justified in using Deadly Force. I never saw any police training, and I attended a lot of it, where this tactic was taught.
The Chicago Police Department is subject to Illinois law, just like every other Illinois Cop. The “line” has already been drawn.

Am I missing something?
(720 ILCS 5/7-5.5)
Sec. 7-5.5. Prohibited use of force by a peace officer.
(a) A peace officer shall not use a chokehold in the performance of his or her duties, unless deadly force is justified under Article 7 of this Code.
(b) A peace officer shall not use a chokehold, or any lesser contact with the throat or neck area of another, in order to prevent the destruction of evidence by ingestion.
(c) As used in this Section, “chokehold” means applying any direct pressure to the throat, windpipe, or airway of another with the intent to reduce or prevent the intake of air. “Chokehold” does not include any holding involving contact with the neck that is not intended to reduce the intake of air.
(Source: P.A. 99-352, eff. 1-1-16; 99-642, eff. 7-28-16.)