Generally speaking with Invicta and I think with most name brand watches.
1...quartz movements are not going to be a consideration as far as accuracy. If you are really concerned about a second or two a day....go with the thermo-compensated quartz movements which are insanely accurate and as the name implies the oscillations and movement compensates for temperature fluctuations as it can affect the quartz accuracy.
2. It seems to me that Invicta uses a higher grade of quartz movement than most of their counterparts in the economy/fashion end of the watch market. Look at Fossil and other brands which are not in house watch movement producer brands (Casio, Seiko, Citizen, swatch) in the $50-$200 price range and you will see a wide range of movements used. Some use no name movements from China and other parts unknown and others use higher quality name brand movements that are reliable.
And, is this a good reason for purchasing watches from brands like Seiko, Casio, Citizen, and Swatch. Sure!
3. I give Invicta a measure of credit for letting us know what movements are being used in their watches. I have some very nice Ronda, ETA, Sellita and other movements in my Invicta pieces and have had very few problems with the quartz pieces, in particular. I have handled hundreds of them, also, just as an FYI. Take it for what it is worth.
4. Invicta is not without fault. They did create quite a stir with labeling watches as "swiss" on the dial and were using asian made movements in the watches. Any watch with the "swiss" or "swiss made" designation on the dial is expected to have a "swiss made" movement in the watch along with other requirements as outlined in the swiss feds regulations for 'swiss made' watches.
5. Like any product, when you put out millions of pieces a year, there are going to be defects. No exception with Invicta. And their customer service definitely could use some attention. Not a strong point for them.
6. They also are quite open to using new movements. So, I think they do sometimes get in a situation where due to the complexity of the movement (number of subdial hand locations as well as complexity of construction) as is common with retrograde and chronographs movmements, that they can have problems. I have had a few chrono pieces where sub dial functions did not function properly. I think it was more of an issue with the dial geometry and layout not being accurate. I believe it was the subdial holes in the dial were slightly off center preventing the armature from moving properly. I also have noticed some issues with crown length and crown function on some of their quartz pieces. Most recently on a few venom pieces using the Ronda startech movements. Probable a fairly simple fix. They also had some issues when they first started using the Sellita SW 200 Automatic with crown length issues affecting time setting, date change ability, and such.
HOpe that helps.