It's not hard to write the wallet seed phrase down accurately, and it's a requested step by Bitcoin wallet softwares too, so people actually do their wallet backups. It's only they will whether keep that wallet backup safely, make some copies, or just have only one wallet backup to use in the future. Some people throw their wallet backup arbitrarily then later they lose it, or they do not mind to store it.
It's not recommended wallet backups but people can learn about that, and they are all able to do that rightly.
It's not hard but who knows if OP is shortsighted, you never can tell and maybe himself, he doesn't know that he is shortsighted. So, it may contributed to why such happened. Mistakes are something that can happen to anyone but when abnormal happen to people, you can't say they are dumb, it may be due to other underlying issues or it might be that he was not paying proper attention to what he was trying to make as back up, so many possibilities if you ask me.
Errors will certainly occur due to habit, and we assume it's normal because we've done it so often. However, careful cross-checking is also essential. If the balance is small, it's okay; if it's large, you might have to look for one more word to complete it.
Errors and mistake can occur but I don't think seed phrase back up are that complicated thing to make as error. Most wallets doesn't let you proceed with wallet if you don't back up your seed phrase and if you do, there will be this {!} caution sign on your wallet as indication of reminder that you are yet to back up your wallet. If you used a good wallet, you should get this all the time and it's normal.