While those CAPTCHAs present a surface narrative of you having to get the problem correct, that's not how they really work. After all, it's not like they are creating those problems by hand. They're pushing the images through computers. You don't even know that what the CAPTCHA server considers correct is even close to objectively correct.
Really it's just a hook to engage you to collect a wide variety of streams to try to detect whether or not you are a human, like reaction speeds, how the mouse moves, etc. The correctness of your selection is only one small signal, and not even necessarily a large one.
The answer is, stop overthinking it. Your overthinking it is probably sending a signal that you're not a human because it's got all your timings wrong. Do what most humans do: Halfassedly click at the problem until it seems rightish and then click "Submit". Does the sliver of tire that shows up in the bottom right tile count? The human response to that question is "Who cares you dumb computer let me through to the content already", so, to maximize how human you look to the algorithm, channel your fellow human's feelings. If you feel frustrated at the CAPTCHA problem and wiggle your mouse angrily and maybe overshoot some of the squares you mean to click, so much the better and more human looking.
But, it pisses me off to no end that I can't use my fucking keyboard the way it is supposed to be used (which is a far superior design to the "normal" setup) to view some websites because it doesn't "look" human to the fucking server who expects me not to be a statistical outlier. As someone who has always been an outlier, I kind of hate the algorithmic future we live in and are headed even further toward. This is why we can't have nice things.
The forum folks may be able to provide a solution.
Surely this is just your preference and the setup isn't objectively better. I can see see some people prefer moving a mouse with a keyboard but they likely wouldn't be as quick/precise as people with an actual mouse.
Someday, I'm hoping some sociologists look for evidence of socioeconomic discrimination in captcha implementations.
In my experience, performing the exact same actions with your mouse in Mountain View leads to a completely different outcome than it does in lower income areas (red-voting white, ethnic minorities, etc) surrounding the Bay Area.
So when you fail, it's not really saying you're wrong, it's saying you're not like most.
