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.

Worse case scenario we can get around to updating stuff by the time we hit the year 9,900 or so

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.