Yes, accents can affect how funny a joke is. It's funniest in Erasmian-Buthian--zayta ata thayta, not as funny but still funny in--MG zeeta eata theta, (Ζ ἐσθίει Θ) and barely funny at all in restored Attic--dzahta ahta tahahta.τὸ σκῶμμα·
διὰ τί Εψιλον φοβεῖται Ζητα;
ὅτι Ζητα Ητα Θητα. (Ζ εφαγεν θ).
{ενομιζον σημερον οτι εκεῖνο το σχῶμμα "πολυπροσφοριον" εστιν. καταλαμβάνεις, Μαρκε;}
Have you tried this one in different proforai?
κεφαλὴν καὶ φαλλὸν* ἔχω.
{φαλλός ὁ, membrum virile, phallus, LSJ.}