First off, the EP27 is not ever proper for a TJ. EP26 is proper for 97-2000 and 2001-2006 need the LM470. EP27 can kinda sorta work but it is not proper and can blow fuses in certain situations as well as it allows the blinker to function when the key is out if the blinker is left on when the key is shut off and removed. That isn’t really a problem but the fuse issue is and so you need to get the proper relay for that. So you need an LM470.
Almost all issues with LEDs in TJs is due to the FRONT bulbs, not the side markers. The side markers depend on the front bulbs for ground. When LEDs are installed up front, the side markers can not ground properly. The solution is to look up forum member
@Steel City 06 writeup on rewiring the side markers to not depend on the front bulb sockets for ground. It uses a few small inline resistors and diodes to to create an artificial dim brightness in the side marker LED for parking lamp mode. It allows the LED to run full brightness on turn signals.
If this is too complicated for you, go back to stock bulbs. It’s really pretty simple though and I’d certainly say worth doing the small amount of work to run nicely brighter and cleaner looking LEDs.