Definition
What a Grok space remover actually matches
The transformation is a single whitespace match against the input, with every match replaced by nothing. There is no option set, no mode and no configuration surface, which means the behaviour is fully determined and can be described exactly rather than approximately.
Execution is local. The text is processed in the page, nothing is transmitted, and no record of the input exists once you clear the panes. That is a property of where the code runs rather than a policy commitment, which is why it can be stated without qualification.
The reported figure after a run is the difference in length between input and output, surfaced as characters removed or changed. It is not a count of space characters, and on input containing tabs or newlines the two numbers diverge.