Invicta bought Glycine a few years back. They live on the lower end of the Swiss watch spectrum. Perfectly fine watches, that meet the swiss made rules.
The thing with Swiss watches, is that many use the same movements, many made by ETA, but the price point varies widely. With a Glycine, the entry price is relatively low, but other Swiss makers, using the same movement, will price several times more expensive. This is where the jewelry element comes into play...
Yeah, Invicta gobbled up Glycine. Invicta was once a classy brand going back to the 1830s. It went downhill as a result of the quartz crisis and became something else. But I digress. Luckily, Glycine are still able to do their own thing.
ETA movements are no longer used in watches by manufacturers other than those that belong to the Swatch Group because ETA can't sell their movements outside the group. Sellita makes clones of many ETA movements and those are available to watch manufacturers outside the Swatch Group.
When you say "the same movement" you have to add nuance to that statement. For example, an ETA 7750 may be in a very basic version in a $600 watch but a higher grade version may be in a $1,000 watch, and an even higher grade version in a $2,000 watch. What's the difference? Fit and finish, swapped out and upgraded components, better finishing, decorations, more time spent on assembly and on regulating, testing, etc. I have an old Breitling Chronomat with a high-grade Valjoux 7750 that is leagues more refined than the much newer ETA 7750 in my Sinn 142. Never mind the difference in brand, ETA bought Valjoux in 1985 and all 7750 movements are essentially they same but they are not because they exist in the following grades:
elaboré (mid-level or basic),
top (high-end), and
chronometre (high-end plus chronometer certified). Beyond the different grades, each watch manufacturer may modify a movement. This is partially driven by the desire so they can call their movement an "in-house design." This sort of lie is quite common even with the top brands, although over the last 15 years or so, making true in-house movements has become more common. For example, Breitling used to use the ETA 7750 profusely in their watches and the called it the Caliber 13. Nowadays they use their own chronograph Caliber B01.
Swiss made, Swiss legal definition - it's mostly hogwash and a form of protectionism. You can either argue for it or against it based on personal views.
The watch was completely developed and prototyped in Switzerland
The movement must be must be Swiss-made
The movement must be cased in Switzerland
The watch must have undergone and passed a full inspection by the manufacturer in Switzerland
At least 50% of the watch's components by value must be Swiss-made (A very large number of Swiss watch parts have been made in HongKong for years - many parts that are made abroad are worked over or finished in Switzerland)
At least 60% of the watch's manufacturing costs must be incurred in Switzerland.