Should those kind of questions be deleted while ignoring the fact they are show-cased in one's resume?
Well, I for one would likely lower or drop participation if I find out that SE does not reliably support my professional online presence, especially one exposed via SO Careers.
Don't get me wrong, I am active partially because I am interested in practicing problem solving skills and written presentation but substantial part of my interest is due to expectation of having a sustainable, public, online proof of my proficiency in this - a proof that is easy to reference.
If that ease of referencing goes away because of link-rot of SE content, it will also take away respective part of my interest.
IInteresting that this feeling of professional online presence being somehow valuable is largely based on my prior experience with, well, SO Careers themselves.
I can't tell how things look for those seeking Careers invitation now, but 2 or 3 years ago they had an option to get a Careers profile for those who lack both required SO reputation and an invite.
That option was described about as follows: "if you believe your online presence is sufficient to qualify without SO reputation and invite, just explain it to us and we'll have a look". Following their suggestion, I summarized whatever online presence I had at that moment, sent it and got myself a Careers profile.
- You see, my very presence at SO Careers has been based on the fact of having a solid, verifiable online presence. Now, if it turns out that SO can not reliably support such a presence themselves, to me this would sound like they can't live up to what they expect of others. Somehow I doubt this will keep me motivated to participate.