Your second link has a Conexant chip on it. I would still ask and make sure it is a bt878 though. Since it's a single chip card, you can expect about 2.5 fps if all four ports are used. It strongly resembles a card I have used before, I would suggest for any card you buy, if the bt878 chips don't already have a heat sink, add one to each bt878 chip.
In a case like your, just buy a ZM supported card. Then the vendor can tell you the steps for that card. It can vary. Based on your level of knowledge at this time, I recommend spending the extra money for a Blue Cherry card that comes with instruction.
Maybe. Some work and some don't. A lot of it is trial and error. We have a business, so we tried a lot of cards. I have a large box of cards I will sell you cheap that do not work in Linux. Some will work per chip, but not the additional channels. There is a infamous 16 port 8 chip card that no one has ever gotten more than 8 channels on with Linux. (It also has bleed and crappy video.) Some just do not, and will never work on Linux. (The Geovision cards and clones are a good example) If you had posted a picture of a card I had tried (a lot) I would have said so, and stated the settings I used. If you can not afford to take a chance, buy a know card. The card you pictured has a good chance of working, but I just don't know for sure.
Lee Sharp, i don't know how to attach an image in this forum, if you tell me your mail i can send to you the image of dvr card and you tell me if if a good card or not.