Most scholars agree on a ~70 AD writing of Mark, also crucial to the Matthew and Luke accounts.
Vespasian’s crushing of Jews was started around 67AD from Galilee in the north.

On a scale of 0-100 so I can go off and find details :

1 – the timing of Mark being written at the same time of Roman activities was purely coincidental.

99 – there are definite reasons to think Mark was written as a result of the Roman siege.

The important Jerusalem 2nd temple had been around a long time!