The Israeli parliament consists of 120 politicians. Their children would need:
to not be Haredi, which are exempt from service
to be between the ages of 18-21, which is when their mandatory service runs
to serve in combat units
Chances are only a few of them answer this criteria (even less considering the extremist portion of this specific government which didn’t serve, and their children likely don’t serve either), and even they are likely not above pulling strings to get them out of danger. Except for that politician you talked about, apparently.