I'm actually completely right. You have to go back to the days of game cartridge with battery inside to reach the distant past when you couldn't backup save games. The last console I know of where the game was permanently tied to the cartridge was Nintendo 64.
Games that ran off disc and saved on memory cards could have save games copied from one card to another. That covers PS1, PS2, GameCube, Dreamcast. Hacked consoles could copy save games to PC. DC was way ahead of it's time, you could even use the DC web browser to download save games people uploaded to places like GameFAQs. This was how I unlocked all the playable characters in Marvel vs. Capcom 2 on DC back in the day.
OG Xbox could backup save games from the hard drive to memory cards. The OG could be hacked too to copy games to PC.
360 and PS3, Bone and PS4 could both backup save games in the cloud and/or copy to flash drive or PC for easy transfer. Some PS3 games actually restricted transfer of save games to the associated account but if you were the actual creator of the save game you could back it up freely.
The PS3 and PS4 let you backup your entire hard drive, including your save games. This made transferring your whole system easy, in case you were trading your console in or you broke it in some way. It also made upgrading from OG PS4 to Pro easy, come to think of it.
Nintendo are still the only company who thinks it's ok to do what the Wii U and Switch do, which is that if you console breaks or you trade it in or you possibly lose your Switch because it's a portable your save games are lost forever.