You're not supposed to grossly overexpose the film in the re-exposure stage. The film will have lost most if not all of it's panchromatic sensitivity in the first developer, but over exposure to daylight & blue light can cause problems with the remaining image partially reversing again. This is the principle of Direct reversal films & papers.
Some older processes gave a measured re-exposure to light and didn't develop to completion in the 2nd developer.
In conventional B&W printing an unsafe Red/Orange safe-light can cause image bleaching with some VC papers. The safe-light may pass all normal fogging tests but the results are you cant achieve the highest grades., this is the reason for the Brown/amber VC safe-light filters.
This is an effect with a B&W emulsion where the exposure to 2 different wave-lengths produces the opposite of what you'd expect.
Ian