Not to my knowledge. It is presumed that the pilot can manipulate with a reasonable modicum of skill so track locus is reasonably well controlled. The track splay is intended to take care of minor tracking errors.
Considering different classes of aircraft will require varying degrees of bank angle to alter their track a similar amount, this makes sense. Thank you Sir John. Also understand and agree how the maths clearly illustrate the vertical clearance reduction by having a wing down on a large aircraft - we know this is the key factor driving AFM bank angle limitations under 50 feet AGL.
Perhaps in designing the SID procedures, bank angle limitations are a regulatory accommodation that allows for different aircraft performance characteristics. Stay within the guidelines, and all aircraft will be able to safely navigate the prescribed course, including aircraft with an engine out.