There are three distinct points in the process where efficiency can be recorded as a useful datapoint.
Mash Efficiency measures sugars derived from the grain as they currently exist in the mashing vessel. This is essentially a measure of conversion.
Mash/Lauter Efficiency takes Mash Efficiency and incorporates sugar losses in the lauter/sparge process and getting it into the boiler. In other words, any sugar left in the tun or lines leading to the kettle reduce the initial Mash Efficiency numbers.
Last, BrewHouse effeciency is net result of the brew day. How much of the theoretical sugar finally made it into your fermenter. This accounts for all losses including conversion loss, lauter loss, trub left in the kettle, and any spillage. This is by definition, the lowest number of the three. The name "brew house" should be your guide here. The mash tun, lauter tun, boil kettle, and whirlpool (not usually separate in homebrewing) are all part of the brewhouse so losses at any of those steps would be included in that figure.
I agree that people are confused, unintentionally vague, and the software all calls this stuff different things. Terms like "into the boiler" would represent Mash/Lauter Efficiency while "into the fermenter" represents Brew House.
Let's try to remember that discussions about terminology and definitions need not degrade into "who cares about efficiency?" or "consistency is more important" rhetoric. While those may be valid points, that's not what this thread was about.