Vegeta's first zenkai wasn't instant, and Vegtea's second zenkai is implied to still make him lower than Zarbon. His third one is total overkill for Recoome.Well we never seen a Zenkai happen unless it was instant. I used this for awhile now and it worked perfectly. Vegeta's zenkai was competing with Zarbon which is why he got stronger and then Vegeta's zenkai competed with Goku. Works pretty good for me. Once again it's a fan-theory. Don't take it like I'm passing it on as fact. Why don't you just call the whole arc Freeza or Namek arc. Makes more sense IMO.
Another popular opinion. I label the ENTIRE arcs/ story by one name not a series.
Saiyan Arc
Namek/Freeza Arc
Cyborg Arc
Cell Arc
Boo Arc.
I divide them into four sections, according to the main villains, and then those sagas are further divided into more sections based on the villains.
SAIYAN SAGA
--Raditz arc- Raditz
--Nappa arc- Nappa
--Vegeta arc- Vegeta
FREEZA SAGA
--Namek arc- his henchmen
--Ginyu arc- Ginyu and his men
--Freeza arc- the really long final battle with Freeza.
CELL SAGA
--Mecha arc- Mecha Freeza and King Cold
--Android arc- Androids 16-20
--Imperfect Cell arc- Imperfect and Semi-Perfect Cell
--Cell Games arc- Perfect Cell
BUU SAGA
--High School/Tournament arc- no one.
--Babidi arc- Babidi and Dabra
--Fat Buu arc- Fat Buu
--Fusion arc- Super Buu
--Pure Buu arc- Pure Buu
It makes no sense to divvy up the Cyborg and Cell arcs going by your system anyway, since the Cyborg Arc doesn't come to a close until after the Cell arc does.