Quite late to this party, maybe a few peeps are still up haha! Next round is on me 😉
I have the same issue with my '04 ES137 Classic but this thread has thankfully alleviated my (albeit minor) stress. Quite awhile after buying the guitar used (2004 bought in exc+ condition in late 2019) I only recently noticed that my saddle slots were all notched to the north (bass side) . The guitar's intonation is fine, the string alignment down the neck is fine on both sides and everywhere in between, plus they more or less line up with the pole pieces... BUT to accommodate all this generally good alignment joy the saddle slots are all equally off center by a pretty good margin, suggesting the actual bridge was drilled slightly south (treble side), meaning all the strings take a distinct left turn downstream of the saddles towards the tailpiece, like very obvious. Despite this I figured I'd be best to leave well enough alone since there are no tone issues. As a bit of a fix I did a top-wrap (wraparound) on the tailpiece to increase the bridge-to-saddle distance of the actual strings and that has held just fine, plus I prefer the slinkier feel of the strings with a top wrap anyway.
All this to say all is well in ES land despite this issue, guitar sounds great, I'll sleep fine tonight.
Cheers