There is no definite answer to your question. SW will likely run on non-approved hardware but there will be more problems experienced than with a fully-approved computer. The extent of the problems will depend on what features you are using on a regular basis. Things like surfacing and irregular geometry will take more resources and cause more problems.
I always suggest buying a unit that meets at least the minimum suggested requirements. There are places to save money doing it. For example, Dell has an outlet dealing with workstations for small-to-mid businesses which has good prices.
Spending any amount of money on a system that ends up not working well enough is wasted if you have to then turn around and buy something else.
This appears to be a gaming laptop, so the question is: Will you be spending more time working on SOLIDWORKS or more time gaming?
(There are a lot of gamers that will buy a laptop like this, and are able to use it occasionally for SOLIDWORKS.)
If you will be using the laptop primarily for SOLIDWORKS, you should be able to get a refurbished Dell Precision Workstation laptop for about the same price.
There are a lot of other options available, but the first question to ask yourself is "What is the main reason for buying this laptop?"
If the answer is "SOLIDWORKS", do yourself a favor and choose based on the system recommendations -
You will be glad that you did,
8GB DDR4 RAM is not enough, SSHD would be a better choice too.