Exact performance is impossible to tell. Both laptops are basically identical in specs, safe for screen resolution. Which that, I can say that if you play full screen, then the Acer V3-572G-54L9 (The first one you linked) will technically perform slower, as the resolution is higher. More pixels to render, slower performance. However, if you play windowd at any resolution lower then 1366x768, then performance will be basically the same.
Laptops are notorious for underperformaning hardware compared to their PC counterparts. The graphics chip isn't super, albeit its better then an Intel chip, so they have that going for them. Recording is more CPU dependent, and the i5 is decent enough. I think normal gameplay will be decent enough, and recording may be laggy, especially if you are exploring while doing so.
Another thing that you may need to deal with is the crap-ware that they install on laptops and pre-made computers. They like to throw a lot of crap that is completely pointless, and it likes to run at start-up, which can take some of your system resources, thus causing more lag in game. If you go with a laptop, find someone who knows what they are doing so they can remove all that crap and optimize everything for you.
As for which to get from the two options. Since they are almost exactly the same, I would go with the second one. The higher resolution is wasted on the small screen. The pixels by that point are so small, you wouldn't even see the difference, aside from smaller text.