@pxelskies Yes, the new computer you linked is exactly the same as the first computer, as far as any of the documentation says anyway, except for the storage. Personally, I'd much prefer to get a system with a single 500 GB SSD and upgrade later—it's easier to add the second drive of your choice rather than dealing with a small SSD and swapping games to the HDD as necessary. And you might find you don't actually need the space.
I also personally would get a computer with a 3060 if it's within your budget. Even if you don't need to play your other games on high or ultra settings, it's certainly nice to be able to do so, and you never know what you might want to play a couple years down the line. But if you're still thinking of a cheaper system, thes are good options:
https://www.bol.com/nl/nl/p/jb-high-end-gaming-pc/9300000089608492/?bltgh=rO-wqP8CkIfeiqEWhwdOTg.nLoMgJTecVgG6MGp3NlO8g_0_16.20.ProductTitle
https://www.bol.com/nl/nl/p/game-pc-redux-gamer-entry-i200-r26-nvidia-geforce-rtx-2060-intel-core-i5-10400f-16gb-ram-ssd/9300000083442472/?bltgh=rO-wqP8CkIfeiqEWhwdOTg.nLoMgJTecVgG6MGp3NlO8g_0_16.33.ProductTitle
Its 1660 is significantly faster than a 1650 (of any kind), and the build quality is better too. The 2060 is even faster than that, although it's not nearly as fast as a 3060. The processor isn't as good as the 5600G, but it'll still be more than fine for the games you want to play.
Lenovo does make decent gaming desktops, but HP Pavilions are not great in quality. That's not to say that the computer wouldn't work, but it would probably run hot and not perform up to the standards of its hardware. (As a point of reference, when reviewers run benchmarks, systems like the HP might lag behind the expected performance of their components by 5-10% but still do significantly better than the best computer with the next-lower tier of hardware.) These computers are also harder to upgrade down the line. Adding more storage or RAM is still easy, but these manufacturers often use custom motherboards, CPU coolers, and power supplies that are almost impossible to replace.
I'm not trying to discourage you from buying the HP, and in fact it should still be a very good computer for what you want to do. But it's worth considering a prebuilt option from a custom-build shop instead. These use the same components as you'd buy if you were building yourself, and the parts are higher quality and totally standard, making upgrades a lot simpler.
Unfortunately, the cheapest desktop on bol.com with a decent processor is actually more expensive than the HP:
https://www.bol.com/nl/nl/p/intel-i5-11400-rgb-game-pc-streaming-computer-rtx-3060-12gb-960gb-ssd-16gb-ram-rev100/9300000033019037/?bltgh=rO-wqP8CkIfeiqEWhwdOTg.nSmNgc4Kn4UhfX-e9-1MpA_0_16.31.ProductTitle
But it's possible that one of these shops would swap out a processor or graphics card for you if you asked. And I don't know how reliable any of these companies are, but it's standard to offer a 2-3 warranty on parts and labor, plus the components themselves are under warranty from their manufacturers. So you'd still be covered if something happened.
If you do want a prebuilt computer from an OEM company, Lenovo's Legion desktops are among the best options. This one is also more expensive than the HP, but it has a more expensive processor too:
https://www.bol.com/nl/nl/p/lenovo-legion-t5-amd-ryzen-7-16gb-512gb-nvidia-rtx-3060-windows-11-home/9300000040429821/?bltgh=rO-wqP8CkIfeiqEWhwdOTg.nSmNgc4Kn4UhfX-e9-1MpA_0_16.27.ProductTitle
So it wouldn't surprise me if you could find a Legion with a 5600G or 5600X for 100€ cheaper. (I didn't see one on the sites you linked; I'm just saying it might be out there.)
Again though, this is more about whether you want to get that extra 5% out of your computer, and whether you'd like the option to upgrade it down the line. The HP with the 3060, either one, should run Sims 3 and 4 beautifully without any issues at all. So if you'd rather stick with one of those, you'll be fine.