From reading both datasheets, the specs are so close, if not identical, they are the same part. Even the pinout is the same ! So use the LM4871.
Cutting the top off of one, and looking at the guts, may not reveal anything. Chip makers periodically change the mask set of all ICs, to keep up with the current processes, that they have on the line. I had a supervisor, once, who worked for a semi house. He said they changed mask sets at least once a year. And this is for old established parts. A LM358, today, won't look like one made in 2003, and both different from one made in 1983. They can only keep so many lines, and the wafers just get bigger.