It isn't always true that the more you pay the better you get, but I would say it is true in most cases.
If you went into a tyre depot and randomly picked a budget tye, and also randomly picked a premium tyre, you have a much better chance of getting a good performing premium tyre than you do a budget one.
Some budget tyres are ok, most are dreadful. Most premium tyres are good, but occasionally some can be bad.
As is usually true in life you get what you pay for. You need to do the research, I would rather trust a proper magazine test done with proper measuring equipment than one based on an average drivers opinion as most people struggle to tell the difference between good and bad unless there is a huge difference.
There is always a big emphasis on car forums about buying the best tyres for the car. Nobody ever really considers what budget someone might have. "It's in the interest of safety so you should always spend whatever is necessary on tyres".
Save some money for the other bits too. Brakes, suspension etc. Everything we do is a compromise.
As I mentioned before, you first and foremost need to make sure your tyres stay on the road (most people only change shockers when advised in an MOT) and that the brakes will stop you. Tyres are only part of the equation.
For example a Ferrari 488 will stop at any given speed faster than your Giulietta. I think you need to spend a bit more money on the car you own.
Probably not that much better (at least at lower speeds) and for the extra dosh and the inconvenience of not getting many kitchen appliances in (perhaps a small one in the passenger seat) it's probably not worth the extra outlay I reckon.
We can go on forever arguing the toss about the compromises we all make.
Oh and the Goodyear F1 fancy******name tyres on my GT were ****. The Falkens I replaced them with (½ the price) were far better. I sold it with Landsails on the rear I think. Don't recall them being any notably different from the awful F1's.