I believe you need to change the txPr (as in the thread you mention) but on the respective element child:
for all_series in range(0, len(plot.series)):
for i in range(0, len(plot.series[all_series]._element)):
if re.sub("{.*}", '', plot.series[all_series]._element[i].tag) == >"dLbls":
txPr = plot.series[all_series]._element[i].get_or_add_txPr()
txPr.bodyPr.set('rot', '-5400000')
So you need to access the "dLbls" child within the correct element index, the "[i]" is the difference to the mentioned thread. I use regular expressions to derive the name from the ".tag"-method. There is probably a better way to find the correct index, but this is at least one ;)
This solution iterates over all series, if you do not need this you can skip the first loop (assuming you want only the 1-series):
for i in range(0, len(plot.series[1]._element)):
if re.sub("{.*}", '', plot.series[1]._element[i].tag) == "dLbls":
txPr = plot.series[1]._element[i].get_or_add_txPr()
txPr.bodyPr.set('rot', '-5400000')
Note, that this only applies to data labels which were set on the single point, so e.g. through
plot.series[1].points[0].data_label.text_frame.text = "Foo"
Hopefully this helps :)