Cuda toolkit installation on wsl2 not added to path

I followed step by step this guide CUDA on WSL :: CUDA Toolkit Documentation but I cannot access to any of the tools but referring to the full path of the binaries directory or adding manually to the PATH (/usr/local/cuda/bin) otherwise I can’t use it.
I cannot do nvprof I have to do /usr/local/cuda/bin/nvcc
What could I have been done wrong in the installation?