Was it traditional to omit the prologue from Shakespeare's plays in the First Folio?

Of the Shakespeare plays that were published in quarto before 1623, the following contained a prologue:

• Romeo and Juliet, first quarto, 1597,
• Pericles, which was, however, not included in the First Folio,
• The Second part of King Henry the Fourth, first quarto, 1600 ("prologue" spoken by Rumour).

When looking at the First Folio versions of these plays, we see the following:

• Romeo and Juliet omits the prologue;
• Henry IV, Part 2 still has the "induction" spoken by Rumour.

When looking at Henry V, we observe the following:

• Henry V, first quarto, 1600 has no prologue;
• Henry V in the First Folio has a prologue where the first quarto didn't have one.

Troilus and Cressida is another special case:

• Troilus and Cressida, first quarto 1609 begins with an "epistle" to the reader (i.e. not a speech to the theatre audience),
• Troilus and Cressida in the First Folio omits the epistle and adds a prologue.

Based on this, it is not possible to make the general claim that prologues were omitted when plays be Shakespeare were republished in the First Folio. In fact, the quarto editions of Henry V and Troilus and Cressida had no prologue, whereas the First Folio versions of these plays did.

(The Life of King Henry the Eighth also has a prologue but was not published before the First Folio.)