No, I want it regardless. I am very much in favour of every company making their advertising budgets available but that's a separate point entirely. At least if I know, I have a choice as to whether I buy their products. I don't have any choice with the BBC.
My point is you don't know. You say you don't buy the tabloids, you still pay for them though and what choice do you have. I shop at John Lewis sometimes, I know for a fact that they advertise with, and have commercial deals with The Daily Mail. What to do? Buy it from Amazon and increase the centralisation of control over our spending.
You can of course apply that to other organisations. The NHS for example, you have to pay for that. You might want to simply go private, but you have no choice but to pay. What about infrastructure projects like HS2, you are going to pay for that, will you ever use it? And on, and on, and on.
I would echo Jeremyp's comment:
"But doing that would destroy the BBC. And although it has some problems, they pale into insignificance compared to the alternatives."
If you want a system that emulates the worst excesses of free market media then getting rid of the BBC puts you on a fast track to that place.