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After learning about the existence of Klavarskribo, I've been wondering why it's not more widely used. I know practically every piano piece is written in standard notation, but that cannot be the reason, since the same thing could be said about guitar pieces, and yet guitar tabs are extremely popular.

Why isn't the Klavar notation as widely used as guitar tabs?

My opinion (and I'm not sure you will get a result based on a more sound basis): I fail to see, how this can be applied to any non-trivial piano piece due to the width required. Turning pages seems also a non-trivial problem besides the pure convention.

Standard notation packs an astonishing amount of information on a page and the addition of accents, phrasing and whatsoever seems a challenge for Klavarskribo. This looks like a beginner only notation and the incentive to learn it appears therefore similarly limited.

The Klavarskribo seems to involve a quite direct representation of the piano keyboard, but Standard Notation is only a slight abstraction of the piano keyboard; you have to mentally get your head around the change in orientation, and the use of accidentals rather than a separate line for (usually) the black notes, and you're there. So standard notation isn't really that much harder to understand for piano, and as guidot's answer points out, it's very efficient.

Why isn't the Klavar notation as widely used as guitar tabs?

...on the other hand, Standard Notation isn't laid out anything like the guitar, so there's a clearer use case for a guitar notation that's more 'obvious' than Standard Notation.

"why isn't it used more often?"

The wiki article says Klavarskribo was introduced in 1931.

This wiki page https://en.wikipedia.org/wiki/Tablature says tablature's first known occurance was 1300.

It shouldn't be surprising that such a new system is not as widely known/used as another that has been around for centuries.

You mention a similarity to tablature. Consider this video by music education Youtuber Adam Neely: Why You Shouldn't Use Tab. His main point is that once you learn to sight read and develop muscle memory for reading standard notation, standard notation conveys information much more efficiently and faster than tablature does. Tab tells you how to play the notes, whereas standard notation only tells you what notes to play. With tab, you have to 're-learn how to play the notes every single time; with standard notation, you learn it once, commit it to (muscle) memory, and then recall it.

I think there's a similar relationship between piano sheet music and Klavarskribo.