You both sort of want a baby but he doesn’t want to actually plan a baby for two more years. That sounds confusing and unreliable and a bit tricky on his part. Why two years ?
You are both already settled….own the house and have savings together and get on wonderfully, but want to wait two years to move and to plan for a baby. Again, why the wait ?
You have concerns that you have enough reason to be facing fertility issues once the two more years of imposed withdrawal contraception is up. He knows there may be fertility issues facing you but weirdly, he sees that as a reason to wait for two years. That doesn’t make sense. You should be concerned about this and know exactly why you have to wait.
You are both from the EU and want to move to another EU country in two years which is relatively simple and not like emigrating to Australia. You have already learned the language. It doesn’t take two years to plan and do the admin to move within the EU. Why not make the move now ?
If, as you say, having a baby makes the move from EU country to another EU country more costly, (does a baby really make that much financial difference if you are already comfortably off ?) why not move now, before the two year wait for the baby?
You have good career enhancement opportunities in the country where he wants to move to in two years. So doesn’t it make sense to move asap, get established in your career and then have the baby asap. Why put that off for two years ?
Everything points to getting on with your life right now, especially if your biological clock is ticking faster. But there is this two year wait problem that he is dictating and which you are only half heartedly going along with because you are already stressed about your fertility chances and can’t bear to use contraception. He must have a really good reason for that two year wait but what is it ? Are you only in your early/mid 20’s …you won’t say and that makes this difficult.
Don’t plan / hope for an accident OP. That’s foolish.
Instead, get to the bottom of his two year wait.
As for your wish for anecdotes, yes, trust me, it definitely happens, especially somehow when you don’t want it to.