Depends on the class. If you just go necro/conjuration sylvan sorc, being chaotic is pretty meta since ruin is so much better on chaotic characters. For melee, you can do something like booter 10/Archae2/DD4/something 2 or literally any other build that would wear oak. The obvious issue is inefficiencies that come from that like sorc, for example, doesn't really need 25PB and can be done just as fine as a merc and so on.
Generally, alignment is most restrictive in terms of kingdom management and gear management, since you won't have anyone to put those awesome LG robes on and bulletin boards save a whole lot of time and effort on the kingdom side. Other than that there are a ton of viable builds that don't give a damn about alignment.
The reason why there are so many lawful and monk characters is just that it's the most efficient way around the block and the guide is at least mostly focused on making "good" decisions even if the character concept is not the best(cause the guide would be very short otherwise).
Thank you. I've decided to give it a go with AT Sorc.