NO, Not all LG TV cords are created equal, but generally only four types are used and they are easy to tell apart.
In general, monitors that require higher current will use a "kettle lead"* IEC C13 or similar.
For LCD/LED type TVs with lower power requirements but still requiring a detachable power cord will use a right angle or right angle format "figure 8"* cable IEC C7
Two other options are a fixed power cord just like your picture showing, one that is permanently attached to the TV, or a power brick for smaller TVs that don't have room in the case for a switched-mode power supply.
Not all power cords are the same, and LG TVs may have different power cords depending on the year or model or display technology released. But they can be used interchangeably if the style of the connector on the end of the cable is suitable for the TV.
Some TVs require an external power brick, which must supply the correct voltage and current to the TV if replaced.