Knowing that the Zionist rebels use the Hover ships to reach a broadcast level in order to infiltrate the Matrix, yet every blue pill in the matrix seems to be hard wired into it, how do they broadcast in? Has it ever been explained? In real life, you cannot hack into a wired system wirelessly without a wireless node or access point. There would have to be a bridge between wireless and wired, even if the hacker has to physically add that bridge themselves.
Even if we assume that the Machines, who destroy, rebuild, and allow to repopulate Zion created these access points, do the red pills ever question why they are able to hack in like that? The first thing a paranoid or intelligent person would ask is why the machines don't disable this access.
The other option I could think of is that the Matrix relies on wireless broadcasting at some points in the network, but considering the power pipelines that run all the way to 01 (the Machine city), it makes no sense to make the links wireless.