Some people may have their own favorite video card which they would try to have in their laptop computer. This may be something which never crosses everyone's mind however. For the most part the video or graphics card in a used laptop computer will quietly do its thing year after year and not too many people even ever consider its existence much less give it a second thought.
The reality is that many of these graphics cards are actually built right into the laptop motherboard and are designed to provide graphics with very similar specifications in a wide variety of laptops. The very specific graphics cards will be ones in the much more expensive laptop computers which are designed d to do gaming and therefore provide very powerful graphics.