"There is only one L1 for any pair of bodies."

Yup.
Did I say anything different?
I was just saying we have two L1- one 200 miles away & one 1.5 million miles away. Jacob was referring the closer one. Jacob is correct in that it is "famous" in the respect it's the one in NASA's NExT and in recent news articles about NExT which been a recent topic on this board, but generally when you refer to "L1" most people think of the Earth/Sun L1 instead of the Earth/Moon L1, therefore it's not "famous" in that regard.
One reason for this could be the way the Lagrange Points are commonly defined as in your reference. Or this one:
Sun/Earth
<A
Whereas this reference describes:
HREF=http://www.freemars.org/l5/aboutl5.html>Earth/Moon