In FFXI it was essentially the same - Your party members (like other FF games) could summon, however there's only a few storybased characters (like other FF games) who can actually summon the diety themselves, whom existed primarily during the Zilart era.
Basically there's only 1 person who actually succeeded in Summoning Fenrir in "modern times" which promptly ended up killing him. In FFXI you had to fight a copy of the god called Avatars, which basically means you're only seeing a copy of them, not the actual diety themselves -- There are a few who are actually awake but still only offer you a fraction of their power and there's some who aren't going to allow you to fully control them (Odin and Alexander.)
The thing most people forget is, Yoshida isn't talking specifically about FFXI and the copies as "cheapening", just the idea as the series went on Summoning has become pretty much a staple of the game when before they were just elaborate nukes, so it's not the copies, because every summoner and their grandma will be running around with a lesser summon, but they clearly have to have some importance unless SE goes the lazy route and just allow you to level into summoning them.
In XIV vs XI, XIV's primals aren't offering their power to anyone, thus summoners won't be able to summon even a copy of them, but Free Companies will be able to get a Card to allow one time summon of the god itself. In XI, they offer you their power in exchange if you beat them.