Sorry for the late reply. I am told that StanHeaders can be built successfully with oneTBB by setting environmental variables like TBB_INC and TBB_LIB. On CRAN, we would like to use the version of TBB that comes with the RcppParallel package
https://github.com/RcppCore/RcppParallel/pull/144 Although with the next release of StanHeaders we will not be able to achieve that because not all packages are LinkingTo RcppParallel so we have to build a similar TBB in the StanHeaders shared object. But on Debian, if r-cran-rcppparallel switches to oneTBB, then it would be fine if r-cran-stanheaders, r-cran-rstan, etc. depends on r-cran-rcppparallel.
