I own all 3. it's mixed.
Akatosh has a pretty good scale of working smoothly. Navigation is the smoothest of all 3 in the mines, and it has support for % rating for follower missions which is unique. However, not being updated for over a month puts it at a 3/5 rating. it does have a profile for gathering timber, but it's broken and again, hasn't been updated since they changed gathering to stacks of 250 timber or gathering traps. Pending an update, or improvements, it could go up to a 4/5 as it's still missing traps and quests, dailies, as well as mailing and bank storage.
GarisonBoss 's uniqueness is that it can craft items (doesn't check if you have the skill, and sometimes not even the mats) so it can get stuck sometimes in loops and/or crash HB. Boss can also do the preliminary quests for low level characters, like fishing and herbalism, alchemy and ... eventually others. it'll take a while for the quests to be padded out to all of the buildings, but it can also run the fishing dailies, which is unique. movement is smooth when it does move around, although it does loop inconsistently between areas trying to process all the different buildings, not necessarily in order. it will wander aimlessly around going from area to area while "thinking" of what to do next, constantly backtracking from collecting orders to mines to crafting to placing orders, so it takes longer to do a circuit, around 15 minutes per alt if you don't have clean settings.
as a rating, Boss is probably a 4/5, it's still under regular development but it is also missing follower missions. Boss has a broad and simple range of mailing/storage options, it sometimes gets broken by updates, but it's fairly well updated. Navigation and process order is it's weak link, but it works well.
once it matures and has more thorough internal testing, it can really only get better over time. if it had follower missions, it'd probably get a 4.5/5, as it still has some teething issues.
GarrisonButler (formerly GarrisonBuddy) is also promising. ICE is an interesting support/price bundle, offering voted in features as does Boss.
Compared to Akatosh, it's not as well spec'd, but it does the job generally better, as it handles most of the common tasks in the garrison, and professions as well as 100% completed missions. Arguably, Butler is the less developed of the 3 bots, but it functions well, and this makes a lot of difference in the long run. it's not as jarringly inept at navigation as Boss, but it does frequently pause between tasks. Mine navigation works well enough. Butler, even though it doesn't run quests or dailies, or run the timber / trap profiles, it supports mailing, and does the daily Profession CD's.
i'd give it a 4/5 as well, but for different reasons to Boss. What it does it does well. But it has a long list of future expansion options as well.
There's also a 4th option, the Brodieman Premium Collection - Garrison profile, which i haven't run much, but it is also being updated.
If i had to buy one garrison bot, it's GarrisonButler ICE, because it's on special. it works well, and does everything really essential i.e. daily CDs, follower missions, work orders and gathering.
Garrison Boss, has the most potential to improve in the future, but it's jarringly broken at times when you enable some features. both Boss/Butler can get stuck on loops trying to sell unsellable grey items (blingtron items,sic)