I'm not the person you asked, but will offer an answer anyway!
I think there are deep differences.
The first identifies certain values - including life, beauty and truth - which are scorned; identifies a goal, namely, power ("their yoke"); and identifies a means - strict order and stringent discipline. It both gives me a sense of the worldview of the LE person (they like organisation, they are hungry for power, they don't care about others, they are happy to lie) and also tells me what would prove them to be wrong (namely, if order and discipline in fact tend towards the mitigation of power and the realisation of values like life and truth and beauty).
The second identifies a goal - taking what they want - and a means to that goal - being methodical - and a limit on that goal - tradition, loyalty or order. It doesn't tell me how the limit and the goal are related. For all I can tell from that, a local greengrocer - who methodically earns the income that she wants, but within the limits of a code of mercantile practices and fair dealing - is LE. Obviously the definition is not intended to cover her, but I can't tell that from the description, which is basically useless.