Is there a name for I.P. Freely type puns?

[Sternvogel]

The Tiger Attacks by Claude Balz
Can’t Get it Up by Noah Rection

When Cadillac introduced this model, one commercial exhorted potential customers to “lease a Catera”. A voice was then heard asking: “Who is Lisa Catera?” The question was subsequently answered on the CBS drama Chicago Hope, on which Stacy Edwards played Dr. Catera.

[Lumpy]

Sakkhar Cox.

Fagh Bashir.

[Jurph]

I went to school with a girl whose last name was Mones, and rumor had it that it fit her perfectly.

Which is, I guess, why she was moaning.