I often wear my Seamaster 2264 on a NATO. I originally fitted the strap with the same spring bars used for the bracelet, and was horrified when I caught the watch on the strap of my backpack as I was taking the pack off. The spring bars pinged out and the watch fell onto the wooden floor. Thank goodness for robust quartz movements!
I now wear the watch on a NATO, but I instead use 20mm shoulder less spring bars. Because they are shoulder less you can't take them out in the normal way with a spring bar tool; you have to snip them then pull them out with pliers - which means they can't be used again. The spring bars are not that expensive - certainly, they are cheaper than the watch - so it's a worthwhile investment, but it does mean that once not a NATO, it tends to stay on a NATO for a while, though the straps can of course easily be removed for washing or for replacement with a different style.
I'm not aware of any Omegas with drilled lug holes, whereas Rolex used them up to around 2003 on the Sea Dweller, Submariner Date and GMT Master models, and I think, up to 2009 with the non-date Submariner 14060. These of course allow for easy removal of a shoulder less spring bar without damaging them or the watch, and I wish more manufacturers offered the feature. Some microbrands such as Smiths still do, but Rolex and Omega don't seem to any more.