No.
When you say “faster internet” what you mean is “higher bandwidth”. Bandwidth has nothing to do with “how long it takes to get to your screen”. What decides how fast it gets to your screen is the speed of light and how long packets get held up in routers.
No.
This kind of technology, by which I mean electron-based internet and computing, has very nearly reached the limit of what is physically possible to do without violating relativity. You can only make semiconductors so small or quantum effects will make it impossible to predict where electrons are going, and information can only travel so far in a fraction of a nanosecond.
Fibre-optic cables have been used for long-distance connections for years because the absence of repeater-stations make them cheaper and more reliable. Getting a fibre-optic cable put in the few miles from your house to the nearest central will give a latency improvement measured in microseconds.
AI refers to basically any form of code that’ll let a computer make a decision about anything, including “how does a tower react to an enemy coming near it”.
“True intelligence” is basically just a very complex piece of programming that makes the decision-making seem capable of creative thinking, possibly employing quantum phenomena for true randomization. For example, the human mind implement genetic code in a wetware processor that is unpredictable enough I actually believe I have a choice about writing this sentence.
What the OP is referring to is the idea of having someone buy a computer, run a game on it, and then send you the output while receiving input.
The “advantage” to doing this is that instead of paying the price of a computer all at once you get to pay it on a monthly/hourly/whatever basis and when you aren’t using it someone else can do so (while also paying for the privilege).
The disadvantage is that you have to deal with internet latency on everything you do - at best your cursor will be rendered client-side so that moving your mouse wont come with an X ms delay. Oh yeah and that’s assuming you don’t experience any bandwidth bottlenecks, intermittent disconnects, or desire to play singleplayer games while flying/on a train/sitting in the back of a car. Aaand someone’s going to be making money or they wouldn’t bother offering to set up computers for you to use.