I'd go with the newer model Dell that you linked to.
https://www.amazon.com/Dell-i5577-5335BLK-PUS-Inspiron-Gaming-Laptop/dp/B06XFGDD8P
It has faster system memory and better video card. Yes it will play the game better - load faster and have less issues.
However, the 256GB solid state hard drive seems to be the only hard drive in the system. This is a concern if you plan on having a lot of data files - game saves, mods, cc, photos, game videos, etc.
You might be able to upgrade to a 500 GB solid state hard drive later though if you start running out of room. Or putting less used data on an external hard drive.