New PC - is a Gaming PC needed these days?

Simmerville  The minimum and recommended requirements for each pack are woefully out of date, even with the recent update.  Not to mention, they're for the base game and that one pack, not all content together.  A GTX 650 is slower than most decent iGPUs now and shouldn't even be mentioned in the same category as an RTX 4060.  In general though, the first and possibly second digits are the generation (6 through 9, 10 and 16, 20-40), and second-to-last digit is the rank within that generation.  So a 4060 is the newer 3060; a 4050 is a cut-down 4060, metaphorically most of the time but literally in this case as they're built from the same overall chip.

If you want to compare GPUs, you can simply google "X vs. Y" and get a general idea.  I wouldn't suggest doing this for cards that are close in performance, as the numbers may not be accurate and would also only give you an overall picture, cutting out some important nuances.  But for very large differences, it doesn't really matter if the numbers are 20% off—you're still seeing that one is much faster than the other.

An RTX 4060 is significant overkill for Sims 4 and always will be unless the game changes dramatically in a way that it never has.  Since the goal of the developers seems to be to keep the game accessible to as many players as possible, I would guess that it's not going to ever be demanding enough to tax a 4060.  The point about wanting a faster GPU is for the video recording/editing side, where more speed can and does make a difference, depending on what software you use and how patient you are.

Stores brand anything with a gaming graphics card as a gaming PC or laptop, and sometimes include computers that have no business receiving the "gaming" tag.  It doesn't have to be a high-end, can run everything out there on ultra settings, type of machine to be considered gaming-oriented.

Anyway, if you don't need your video editing to be extremely efficient, this system may be absolutely fine for your purposes.  An i7 or Ryzen 7 would be faster, sure, but it might not have any practical effect for you.  I can't give you a better answer because I don't know what software you'll use or whether you're going to be staring at the screen waiting for something to complete while getting increasingly impatient.  I will say that for most users, this laptop would be sufficient.

Separately, it's fine to post in a thread of this age, and in fact better in general so we can all see the context of your newest question.  If the delay were more like a year, it would be best to create a new thread, linking back to the old one.