Well you start by saying "problem". I don't think wanting to do achieve something in a game is a problem as long as there is will and of course time.
I for one, hate grinding in all of its forms. I hate when i have to do the same damn thing over and over again and not be a challenge for me (for example hard primals back in 2.1 for zenith). Make that double when that thing is boring or i don't get a good reward. Well the terms "boring" and "reward" are debatable as what seems boring to me might be fun for someone else.
For example, one of my friends wants to get every single minion in the game and for god's sake wants to get every possible type of gear for his dragoon. I call him crazy, but i don't blame him at all. I would still call you crazy if you tell me that i got all zetas but its a personal decision after all and as long as it is fun for you then im just more than fine with that. Like it or not, ffxiv currently has MANY things to do and while you are saying that i can't do all of them, others say that im becoming bored and there's nothing to do in this game just a few weeks after new stuff gets introduced. Think about it.
Overall, i agree with you that the game right now is not favorable for completionists as doing something to its extreme can take insane amounts of gameplay aka time and of course real money something most just don't prefer...