Omega Vintage Watch Dial and Calibre combinations

Hi all, looking for some guidance please. I’ve recently inherited a couple of vintage omega watches (photo’s below). I’ve opened the backs and the watch on the left has a calibre 266 movement with Dennison Steel; the watch on tge right has a calibre 268 movement. I’ve checked their serial numbers and they are from 1954 and 1962 respectively. My question here is when I google the movements I tend to find the dials are on the opposite movements to the ones I have. Is this common or could it be these were switched around by mistake perhaps during a previous maintenance cleaning?
Any help/guidance appreciated. Thanks in advance. WM

Ok great - thanks for the prompt response and advice guys. Def won’t swap out. I appreciate the vintage style watches but have limited patience with having to wind on a daily basis. I’m considering selling as a result and wondered what sort of guide price to set them at online. Again, any sort of indication would be great.
The patina on the left watch is great, but unfortunately has a couple of slight blemishes just to the left of the hour/minute hands. Original crowns on both too with the logos.
Thanks!

Thanks!