The second to last and last paragraph pretty much says that crossover cables are not required for Gigabit and faster for practical purposes.
https://en.wikipedia.org/wiki/Medium-dependent_interface#Auto_MDI-X
It is interesting that from the references that you can see there are two patents that belongs to HPE for this; although looks like both are expired so probably HPE does not collect any more royalty payments from technology licensing.
https://www.hp.com/hpinfo/abouthp/iplicensing/automdix.html
https://patents.google.com/patent/US6175865B1/en
https://patents.google.com/patent/US6460078B1/en
It is quite possible people who never ever worked 10/100Mbps Ethernet cards have no idea what a crossover Ethernet cable is.