There are some persons who type them on their partners Whatsapp as message just because they are lazy to write them down.
Really? Well, you can't fix stupid...
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Sometimes I think wallet apps should have a user first pass some sort of multiple-choice test to inquiry user's knowledge of wallet security basics. If user fails, provide learning links and postpone creation of wallet until user passes the test.
Unfortunately this won't happen because the army of wallet noobs would drag the app into dirt complaining with bad rating votes. Most won't realize that passing the test is for the better of them.
... because the screenshot will be saved in the person's photo gallery. If they forget to private the image, anyone who has access to the phone can easily see it, and if they understand what it is, they can get a copy of it.
Yes, that's one way to loose control of your pictures.
It's not uncommon that some other apps on your phone ask for permission to access the photo gallery for whatever valid reasons. Most users grant that permission without further thinking about it as the asking app may have a valid purpose. You basically loose control which apps do what with your pictures (who can control it in detail?).
Not to mention that your pictures are usually synced with some image cloud storage which may do some fancy automated image processing to index pictures content. Guess what kind of problem that could be for the secrecy of your screenshotted recovery words...
And for those who send their phrase to their partner's phone, you're at double risk too; you can't even know if your phone was compromised or that of your partner. If they lose their funds, the person will be confused about who to suspect.
Very valid concern of doubling the risk at minimum, indeed. You can't even control anymore, with whom you partner shares their phone data shit. Divorce rates going up!