This is a very good question.
I believe there is some commentary regarding this, but I am not certain this specific situation has been addressed.
Your intuition is correct, and in theory the 1801a will work better when mounted in the wall. The increased baffle step compensation of the 1801b will not be necessary and may in-fact drive the baffle step too rich (i.e. bass heavy).
However, in most cases there is a bookshelf present. This bookshelf is filled with "stuff" that will bounce & potentially absorb some of the low frequency. In this regard, I think either crossover would be fine.
Another matter to consider is the room construction. Tall walls with thin sheetrock are very flexible and will soak considerable bass. Concrete walls will bounce that bass energy.
Probably the most important concern in all of this is the port orientation. If you are building an 1801 into a wall the port will go... into the wall. I really don't recommend facing the port forward because is muddies the midrange. Please read here for more information on this matter:
http://www.ellisaudio.com/porthole.htm
Given this, I recommend you build a sealed 1801. This will roll off at 12db/octave at 50hz. The cabinet is slighty smaller at @16-17 liters. Dennis and I tested this a few years ago. The results were acceptable, but neither Dennis or I preferred the sealed bass. We both preferred the ported bass from the larger @22 liter ported 1801.
I have a couple dusty 1801a crossovers in the basement, but I'd have to check their condition before sending them to anyone. I don't normally stock the 1801a crossover parts.
Hopefully this addresses your concern.
Dave