Ah, could this be the building you were asking about before, ethereal?
The LAPL website doesn't say what it is, except that this photo dates from 1951. Maybe it was filled with law offices?
Broadway and Temple, 1945
Broadway and Temple, 1930
Broadway and Temple, 1940
What a difference 10 years makes in scenery and fashions in clothes and cars!
And see that Old County Courthouse that dates from the late 1800s in the 1930 photo? It was demolished and then temporary bungalows were built on the site to house the various courts; looking at other photos, it became a parking lot, and then eventually the site of the current Criminal Courts Building, or the Clara Shortridge Foltz Courts Building or whatever it's called now.
Demolition of courthouse, 1936
1948, temporary bungalows housing courts:
All photos from LAPL.org.