thisLayer("ADBE Effect Parade")
is another way of referencing the effect property of the layer. "ADBE Effect Parade" is a match name, which is Adobe's universal, language-independent name for an After Effects property.
thisLayer("ADBE Effect Parade")("Checkbox Control")
references the effect named "Checkbox Control" on the effect property of the layer (the effect name shouldn't change when the project is loaded into a diifferent language of AE or Premiere since it is set by the user).
thisLayer("ADBE Effect Parade")("Checkbox Control")("ADBE Checkbox Control-0001")
references the checkbox property on the Checkbox Control effect, again using that property's match name.
I was only able to test this expression in English, but if you substitute it for
effect("Checkbox Control")("Checkbox")
in your expression I am pretty sure it should work regardless of the application language.
There is a script called "Expression Universalizer" that I have not personally used but that might be useful to you: https://aescripts.com/expressionuniversalizer/