In my little worldview, the succession in Monaco would be (if no male primogeniture & legitimacy doesn't count) would be Jazmin, Alexandre and then the baby. Not going to happen, I know. Just thinking of fair play.
EXACTLY! I thought I was long winded enough without going into the awful risks he was obviously taking with his life.
You bring up an interesting idea, but I think ultimately it would be unfeasible to introduce.
Consider the situation in Monaco. In 2005, it was confirmed that Albert had fathered Alexandre, then about 2 years old. The next year it was confirmed that he had fathered Jazmin, then 14. If Alex had been the heir then he would have been displaced in the course of a year. And you would never know if Jazmin could some day be replaced by another, older illegitimate child.
By insisting that the heir be legitimate (either, as in most countries, by birth, or, as in Monaco, at least later on) then there is a stability to the succession. We know who the eldest legitimate child of, for example, Prince Charles is, so the government system doesn't have to worry about his heir being displaced by the emergence of some new previously unknown child.
If you wanted to go with the argument that children born out of wedlock but later on legitimized should be able to inherit, I would probably agree, but just outright illegitimate children is a tricky thing.
I also personally wouldn't look at a throne or title as being something really passed on from one person to the next - at least not in most European nations - as it is an government institution that has a hereditary head. As such, it's not something that all children of a monarch should be able to inherit equally, regardless of how they're born. Monaco is not simply one of Albert's possessions to pass on to his children and Jazmin is being denied the opportunity because of her birth - the monarchy within Monaco is a family-run business and government institute that has strict (albeit lax by other standards) rules for who the next CEO gets to be. It's like... Donald Trump wouldn't leave his business to an illegitimate child he'd had minimal contact with just because he/she was the eldest - he's going to leave it to the legitimate children who have been groomed to take over the business. Why should a monarchy be any different?
Also, in response to your earlier statement about the current heir situation. Belgium's heir is Elisabeth, Denmark's is Frederick then Christian, Liechtenstein is Alois then Joseph Wenzel, Luxembourg is Guillaume, the Netherlands is Catharina-Amalia, Norway is Haakon then Ingrid-Alexandra, Spain is Felipe then Leonor, Sweden is Victoria then Estelle, and the UK/Commonwealth is Charles, then William, then George.
Of the male heirs, Haakon and Felipe both have elder sisters, while of the female heirs, Ingrid-Alexandra and Victoria both have younger brothers. The rest are all the eldest legitimate child.