The way I understand this concept of a 'widely digitally delicate prime' is that you can take such a prime, prepend it with any sequence, and receive a prime in return.

If that is the case, then finding such a number immediately trivialises the search for the 'largest known prime' - take the largest known prime, tack this number on the back of it, and you now have a new largest prime. I guess you'd get bonus points if somehow it's also Mersenne.