Bootstrap confidence intervals depend on three elements:
The first two of these depend only on the bootstrap distribution, and not how it is generated: parametrically or non-parametrically. Therefore, the only difference in a parametric bca analysis would lie in the nonparametric estimation of the acceleration, often a negligible error.
bcaboot provides functions to compute bootstrap confidence intervals in an (almost) automatic fashion. Further details may be found in the paper by Efron and Narasimhan below.