Commit disabling DSP instructions for M-33 suggests creating a custom compiler package for BSPs that need it: bafc7e0.
Given that nRF5340 appcore and netcore BSPs are in-tree, and appcore supports DSP instruction set while the netcore does not, I think the two compiler packages themselves should be in the tree: arm-none-eabi-m33 and arm-none-eabi-m33-nodsp, so that the corresponding Nordic BSPs can be used directly from the repo.