Here is a release from the ISP when the law was changing over.https://isp.illinois.gov/LawEnforcement/GetFile/45e79248-55e3-4fc1-9568-deaa37259a1d. Go to page 5,read the changes then read the summary.The exemptions don't state firearm or archery hunting because it pertained to both.
The King's post from earlier in this thread,Molly's post from 2021, the ISP's release all spell it out.
If you want to see more, do search of IL FOID modernization act and you will see many examples.