Hi Pentcho ,
thanks for linking "the simplest version of the paradox". The coloured diagram is useful but the writer is still equating the manifestations seen with the substantial objects themselves which is not correct. The ladder, source of EM sensory data, and observed manifestation, output of sensory data processing, are distinct aspects of reality that belong to different categories of reality. These are on different sides of the Observer's Prime reality interface. Due to different observers obtaining different sensory data from the environment there is non simultaneity of events I.E they have different present experiences. Accounting for differences in dimensions of the objects observed and different reckoning of relative location of the objects in space. Thence different reckonings of when/where in relation to doors of garage. This is only paradoxical because the mathematics is not differentiating the different categories of reality. Making it seem that solid substantial objects are "magically" transformed into contradictory states of being.Where as it is perfectly reasonable that different observers produce different manifestations from differently acquired sensory data.
The Barn Pole Paradox, Mark L Lions
I think the next given example in the Ladder paradox, Wikipedia article (your "the simplest version of the paradox") is daft because it is talking about a man walking fast, not a significant fraction of the speed of light , and then falling down a grate. The man represented by a rod. At the speed needed for the length contraction to occur the momentum of man or rod Object would prevent him/it from falling. (Though he might trip) It seems there is no momentum in the paradox which makes it invalid.
The last example again I don't believe it would happen,as described in the article. The rod passing through the ring due to length contraction part. - the appearance of contraction is not the same as contraction of the source of the sensory data from which the contracted manifestation was formed. Though the change in orientation of the bar when considered from a different reference makes sense. Making this example of an optical illusion rather than a paradox.