"How much outsourcing of your mind do you want to give to technology?" "Yes"
If you really can't remember all the details of people that you want to remember, you can always write those details on your phone or trusty Rolodex after you meet them and then check them out before you meet them again if you must.
i do not see any practical difference between the hypothetical device the parent proposes and this, except that your suggestion is more cumbersome. you're just "outsourcing your mind" to paper or whatever.
(i will note that i agree with your general point. i try to make a concerted effort to remember those details, rather than rely on any type of note-taking)
Also, I take it that the next logical (and worrisome) step to something like that is to record the conversations so the AI can summarise and extract the important data from the conversation for it to be later accessible, which is going to bring us into the ultimate performative scenario. Young people nowadays are already aware that anyone could be recording their most embarrassing moments; recording everything we say would be worse.