Well, there is an advantage, if everything is using the one service then you only need to have one thing alive to check it, so each new app is "free" if you already have push enabled (assuming that push notifications are rare enough the activity isn't the cost), as where each app doing it themselves is going to cause more battery use, so it isn't directly equivalent.

However, it also isn't a big deal, at least in my experience, at least for ntfy.sh.