The phrase appears to be a specific string of keywords often associated with search queries for particular fan-created media (doujinshi) or adult-oriented manga within the Naruto fandom.
A Japanese slang term used in adult fan fiction circles referring to "fatherly nursing" or similar themes.
Real or biological father (often used to distinguish from adoptive figures).
If you’re looking for a analysis or appreciation post about adoptive father relationships in Naruto (such as Iruka to Naruto, Jiraiya to Naruto, or Hiruzen to Naruto), or about father-in-law dynamics within the series (e.g., between Naruto and Minato, or Sakura’s relationship with her father), I’d be glad to help write a thoughtful, fandom-appropriate post.
The relationship truly solidifies during the time skip between the original series and Shippuden . Jiraiya takes Naruto away from Konoha for two and a half years. This period is largely unseen in the anime and manga (save for fillers and flashbacks), but it is the most critical time for their bond.