Your top diagram is 1 ohm (.67DCR) and the bottom is 4 ohm (2.8DCR) check any subwoofer spec sheet, it will list DCR and then Nom. Impedance. DCR of a 4 ohm speaker will be in the 3.xx and it will list nominal impedance as "4"
Your bottom diagram is the only way to wire your amp safely. Now is the amp 2 ohm Stereo Stable / 4 ohm Mono Stable? If so then that amp would b great for that set up. An amp that is 2 ohm Mono Stable would not be optimum for your application, you did not specify that.