eXile losses jpeg processing is kinda different.
Heck, I cannot understand what you want to say.
Most programs that do work like JpegCrop are called viewers. Not editors because they don't alter the data as such.
From a mathematical point of view, you are wrong. As the original entropy of any image (or field with discrete values) is only lowered by a set of operations on it, the data is altered as such. This does not mean in any, that the discrete value of any element of the field needs to be changed, but that does not mean, that the data is not altered, as the elements of the field could be reduced by the respectivly applied operations.
They are not altering the image data.
It is still not clear what your statement expresses. But as i described before, this is by no means "lossless" - as any operation lowers the entropy of the recording of reality (here: the image). So why is your statement not clear? Simply because you did not exactly define what "image data" means. By a matter of information, the "image data" is always lowered when cropping images.
Say sorry eXile. Since you did not understand what the person was talking about.
I would say it the other way around, the person did not understand in a mathematical exact way what I answered to him. General statements like "It is lossless" were not determinable from it's local context in the persons last post. That is why I said that the named person should think again about the mathematics behind it.
So instead of saying sorry I better give you the advice to try to analyse problems as often as possible in a mathematical way, otherwise strange conclusion could come up.
You don't use gimp or photoshop even for minor adjustments on jpegs due to the dataloss from both way conversion.
That is because you do not use gimp or photoshop and jpegs due to the reduced information at all, except for final storage.