Possibly; this assumes that our current calendar's epoch holds, that humanity is still around, that computing systems are still around, and legacy software from 8,000 years past is still kicking people in the butt.

Given that electronic computing has only existed since approximately the 1930s, it's probably premature to worry about what will happen 8,000 years from now.

Eh, that's gonna be their problem to unfuck software that assumes 4 digit years. I'm gonna be long dead and forgotten by then.

Not to worry. The calendar will be rebased when A.I. replaces J.C. as the starting point.