It becomes sensible when the extra threat is worth the defensive risk and the team understands what changes behind it.
Five minutes left at 1-0 down is very different from doing it with 25 minutes remaining.
If the centre-back goes forward, decide who protects the counter. Does the 6 drop into the back line? Does one full-back stay? Are you now accepting 2v2s rather than 3v2s because the game state demands it?
I also want a reason for sending that centre-back. Are they genuinely strong attacking crosses, or are we just putting a tall player near the goal and hoping?
Practise late-game scenarios occasionally so the roles are not invented in the final minutes.
Chasing the game requires more risk.
Good game management is choosing which risk gives you the best chance of changing the score without turning every opposition clearance into a free run at your goal.