Maybe reconsider which requirements you actually have. Also in respect what the battery cells actually need.
Is there another power source in the circuit that can cause a reverse potential at the batteries? Maybe when they are inserted in the wrong orientation.
Functioning voltage range (you didn't specify that, can be very relevant)
Rev. pol. protection (what is the maximum permitted reverse current? I've seen some batteries with one specified.
Do you also need some overcurrent protection? (if you don't it makes component selection a bit easier)
Permitted IQ when everything is off.
Do you also need to protect the circuit from reverse inserted batteries?
1. The ADP198 is specified with reverse current blocking (maybe check out the detailed specification, like leakage...). The drawing in the datasheet might only be indicative, not representing the actual implementation.
2. Regarding TPS25947xx; you also want to check out the minimum voltage, 2.7V in this case.
3. Maybe you're overcomplicating it.
I'd go for a simple integrated solution and chose something with a nice datasheet. I assume this is just a hobbyist project and main focus is on getting it to work, so no point cost optimizing here to the last %.
Maybe also look at; LM66100, MAX40200, MAX40203
Edit:
Honestly, in this case it would be just to play safe since these batteries can just handle a few micro amps in and are very dangerous. But at the same time since its the only source o power probably I don`t need any protection for reverse current... For example I will be using a buck-boost converter, could it somehow create a significant reverse current (again just a few micro amps) that would go into the batteries ? Im a little bit lost on this topic, since I never used these batteries...
If the batteries are the only source I'd be more worried about them being inserted wrong and damaging the circuit.
Can't really see how a relevant reverse current could occur in your specified case.