Honestly if you are keen to keep the baby, then letting your wife leave and stay at home is likely the better choice..
otherwise she would likely be in such a stressful situation that eventually it will affect her and the baby's health..
Personally I think it's very reasonable not to expect pregnant ladies to be forced to go job hunting while pregnant. I'm surprised others don't feel the same way to be honest.
I'm curious what laws in other countries say about this scenario.
I find these situations where there is tension between an employer and employee are no good for anyone. Even if someone thinks they have been wronged by an employer, it is not worth it to stick around unless finances are so tight (in which case, baby $$$$....).
A friend has a male employee on her team who takes the maximum amount of sick leave per month, has some dodgy doctor always signing him off. Surely if you are that sick for 2+ years then you need a proper leave to get treatment, not just a few days off every single month. Whenever they want to get rid of him HR advises it could be an issue because of his health he will say he's being discriminated against.
So it can be anyone who abuses the system, luckily such people are fairly rare.