The phrase "bickering about whether" is correct and usable in written English.
It can be used when discussing a disagreement or argument regarding a specific issue or topic.
Example: "The committee spent hours bickering about whether to approve the new policy."
Alternatives: "arguing over whether" or "debating whether".
Political parties are bickering about whether he should even stick to a 3 percent deficit limit.
Politicians are now bickering about whether the country can afford an economic stimulus package of similar size.
Instead, it has spent four long years bickering about whether to allow the proposed Keystone XL pipeline to Canada's tar sands.
Last Friday's programme began with a mini-argument between him and Mayo, each bickering about whether they always do the same thing on the show.
Tillmans's victory - he was an early favourite of the bookmakers - was overshadowed by bickering about whether imitation of one artist's work by another is flattery or plagiarism.
You can't help thinking that the historical figures they impersonate — about whom we don't learn very much — would probably be far more appealing to spend time with than the generic Gideon and Margie, with their tedious bickering about whether to go out or stay in.
What were they bickering about?
So what are we all bickering about?
What if we can stop bickering forever about "whether women are funny", "whether women really want to show off", "whether women dare interrupt", "whether controlling an audience is a mirror of the aggressive sex act" and all of that stale nonsense?
Until recently, politicians bickered about too many immigrants.
On Saturday, as her friends bickered about whether it would tax Mr. Cliburn too much to give him more flowers, Natalya Subbotina mustered her courage and approached him.
