'basically depends on' is correct and usable in written English.
You can use it to indicate that something is determined by something else that is usually assumed or understood. For example, "What kind of response you get basically depends on how you phrase the question."
The Internet in Syria (at right, in red) basically depends on one domestic provider, state-owned SyriaTel (AS29256 and AS29386).
And this basically depends on the Iranians' use of centrifuges to enrich uranium?
The performance of a thermal error compensation system basically depends on the accuracy and robustness of the thermal error model.
The performance of the tool is influenced by many technological aspects, but basically depends on the abrasion property of the hard particles-matrix system.
All those who voted for Tony Abbott must somehow believe that the current model of progress (which basically depends on selling off the country's resources to China) will last forever.
I, whose entire job basically depends on the Internet — including editing HBR Singles like this and this, both sold through Amazon — developed a moral and intellectual aversion to purchasing goods from this Internet stalwart.
We basically depend on two things: mining and quartz.
The choice of the type of design will basically depend on the study objectives, and the hypotheses proposed and on the resources that the research group has.
Product configuration and conceptualization for integrated machine tools basically depend on the interactions of the manufacturing technologies and the required effort for realization.
The hard, inescapable truth is that at Jiabiangou — just as at Auschwitz and Kolyma — no matter what you did, no matter what your strategy was, your survival basically depended on blind, stupid luck.
"If we need to basically depend on the endowment, let's increase the take rate," he said, referring to the percentage of the endowment spent by the college every year.
