So would it be true to say if a charged capacitor is connected to the input with the opamp running a non inverted configuration, the capacitor would discharge linearly?
It will depend highly on the op amp. But, in general, over a limited range it is likely. But, there are a lot of "realities" that will affect this, some of which are:
1) The technology use for the op amp: If it has a JFET or MOSFET input stage, the input bias current will be very, very low, and may even be smaller than the natural leakage current of the cap.
2) The structure of the op amp input: The input bias current for an op amp could be positive (flowing into the op amp), if the input transistors are NPN; or could be negative (flowing out of the input pins) if the input transistors are PNP.
3) The bias point of the op amp: Some rail-rail op amps have complex input stages than whose input bias current magnitude and direction will depend on the common mode voltage.
4) Temperature, supply voltage, etc. will also affect input bias current...
Bottom line, you have to examine it carefully for a given op amp. In general, it's probably not a good idea to *rely* on the bias current to form an integral part of your design's functionality.