Yes, that's how it works with my LG, but I'm using 5 inputs, I understand that for only 2 it can be annoying.

However, it's quite possible the database have discrete codes for your TV, ie, direct hdmi input selection. Select the TV device in your remote, check the list of commands available in the soft buttons, and test any command that looks like input selection. If you find commands for the hdmi inputs, screw method 3 and select method 2.