What year and badge is your car? You have a miss you can clearly feel, and it doesn't set the check engine light? It should; and give you an error DTC which will tell you which cylinder is misfiring or which ignition item in the circuit is "failing".
If that light isn't ON, the problem has to be interpreted differently. And depending on your year, the ECM/PCM might be averaging fuel/air/ignition if (for instance) the cam or crank sensor isn't getting out a steady signal.Your car will run like crap. In just the case of fuel, you never get a proper LTFT for all of the cells (acceleration, deceleration, idle etc).
A properly functioning ECM/PCM would never let that missing go on, without throwing a code.
1995 SE ..Green and Rattle Can...234K mi...Bonnie (she'll outlive me)
1998 SSEI .. White ..119K mi...Evey
1996 SSE ..MajTeal..157K mi...4/12- Dealer trade full of Lucas Trans fix