No. The documented distinction is:

- `BarrettKokBellPair` is normalized;
- weighted families such as `BarrettKokBellPairW` and the `Genqo...W` states
  use the trace as a success probability or rate-like weight.

So you should not silently treat a `...W` family as if it were an ordinary
trace-1 density matrix.

The safe way to use them is:

1. keep the weighted-vs-normalized distinction explicit in your analysis code;
2. use the explorer or other diagnostics to understand how the family changes
   with parameters;
3. choose the weighted family only when that “success-probability-like weight”
   is part of the model you actually want.

Typical use:

```julia
using QuantumSavory
using QuantumSavory.StatesZoo

reg = Register(2)
initialize!(reg[1:2], BarrettKokBellPairW(0.8, 0.8, 1e-6, 0.9, 0.95))
```

If you want a quick inspection workflow first, use:

```julia
stateexplorer(BarrettKokBellPairW)
```
