In my explanation, I'm are assuming that you are getting 95 prayer

In my explanation, I'm are assuming that you are getting 95 prayer from OSRS gold about 75ish. You can add in your own numbers and follow exactly what I did to see if its any different. Therefore a 35m difference in the price and also a 15 hour time difference. Therefore, if you value your own time at 2.3m+/hr it's well worth it to use bark dragon bones. However, this is assuming you've got the cash already, that you dont, but if you want to accumulate the frost bones to make this possible you can.

Now for the collecting the bones. It all depends on how much you really make/hr. If you create 2m/hr then it is 90 hours for the frost bones and 72.5 hours to your dragon bones. Therefore it's better in your case to use dragon bones, by 2.75 hours difference and 35m. Dragon bones are about the same period as frost bones, but you save 35m.

I don't think so. For instance, if you press Esc to close your lender it would need to use coordinates to obtain the X to close the bank, making it illegal and automatic. Also pressing F10 to change to bank and equipment, that is not 1:1 input output. Moving from gear to bank is quite a few functions and can also be impossible to perform with 1 click unless you are hacking on the game to allow it to do that. If this isn't true then develop on what you want it to do, I didn't really know what you're asking but I gave my effort.

As long as it's 1:1 I actually don't see the big deal as Jagex themselves additional hotkey's for invent:D F1 etc.. I didn't know that so no need to be a jerk about it... The issue is still that you're getting more than 1 output for 1 key press., you can't do this unless you're hacking on the game applet to include extra important bindings. You can do it through an external program but that is not 1 input to buy RS gold 1 output. The most you can do would be make esc perform a mouse click, making it moot since you could do that using Mousekeys.