You're the one making the WAG asserting it as fact. Please cite your source. I'll give you a hint where to find it below.
You can look at my user name. Do you think I might have a bit more knowledge than someone who spreads erroneous internet rumors with no basis in fact other than their imagination? Your "well known" guess simply isn't supported by facts. The actual facts also don't support your "well known" imagination that Cook County residents take longer.
You're the ones making the allegations with nothing supporting your claim other than your "well known" imagination. Before your imagination overcomes your zeal you might look at the legislative report. The ISP is required to file an annual report which includes the number of appeals.
The last data I have close by is in 1 month there were 8722 applications for CCW from Cook Co. The sheriff objected to 240 of those. Of the 240, 5 were already denied for felony convictions, 88 domestic battery, 77 prior gun arrests, 52 arrests for battery/assault, and 27 for agg batt. Some of those objected to by the sheriff were under age. These convictions and under age would have been caught during the background but the sheriff filed objects before the backgrounds were completed.
A sheriff cannot just arbitrarily object to a CCW. There are criteria they have to follow. 240 out of 8722 puts it in perspective particularly given the records those had, including the 5 who applied who had felony and domestic battery convictions. Automatic prohibitions for owning a firearm.