There are no bases. You are NOT on New World Jet's payroll if you're flying for New World Jet. You're on your charter operator's payroll. For example, you are employed by Gumby Jet Charter and you're on their payroll but on occasion you would do trips for New World Jet because your employer, Gumby Jet Charter, has a deal with New World Jet to fly trips for them. It's a big, convoluted mess of companies who all have their hands in the cookie jar. Just pray there isn't an accident or something like that because things will get ugly real quick with the Feds.
And Gumby, why you getting all bent out of shape dude? (no pun intended)

You could have calmy explained the whole New World Jet thing without getting all huffy and righteous. If you are in fact this knowledgeable about the whole New World Jet thing, then why didn't you explain to CommuterHell how it all worked in the first place? If New World Jet does indeed own some airplanes then answer CommuterHell's questions on QOL and pay.