Longines is by far a more accurate watch and was for many years regarded as well above Tag Heuer and Rolex in status. You should read a little about their history. For many ages the Longines Admiral was more desired throughout Europe than the largely branding driven Rolex.
If you want to admire something about Rolex, I would mention the fact that it's wholly owned by a nonprofit and can never be sold to a for profit conglomerate. The proceeds after operating expenditures go entirely to the Hans Wilsdorf Trust charity.
I am going to have to beg to differ here. It's been a while since I've even heard of Longines as a brand. But I just swung by their website and took a look and first off you can buy their products in an online shop, and secondly they have watches costing as little as $800.
People talk about wanting a Brietling, Omega, Tag Heuer or Rolex. I've never heard anyone aspiring to own a Longines.
I travel a lot and as a result get lots of free upgrades into first class. People wear a variety of watches, and I have a good eye spotting them. I can't even recall the last time I saw a Longines in first class, a club lounge, or anywhere else.
I also just searched their entire website and couldn't find a single COSC certified chronometer among them.
Since they are owned by Swatch who also own Omega, it's pretty clear that Longines is being priced as a low end brand by comparison. Omega is going far more expensive with in house COSC movements. Longines conversely are still making quartz watches and plenty of them; something higher end brands generally snub.
Bottom line, I don't really buy what you are trying to sell here.