Hi Dean -- I'm not sure what you mean by the 4 lines, but there is indeed some baggage that comes with a directly toleranced angle. One issue is that a ± angle tolerance will yield a widening zone as you go further out from the vertex. This is not illegal, but something to be aware of (and thus, form of the surface is not controlled). Also, how do we know which "leg" of the angle gets the tolerance? If I see a drawing with 45º ± 1º I might measure that ±1º as being on the base leg, where another person might think of the tolerance as being on the other part of the 45º -- and there are times when it could make a difference.
I think that's along the same lines as your comment, so yes I agree!
John-Paul Belanger
Certified Sr. GD&T Professional
Geometric Learning Systems