Yes, but the _really_ real stuff is lead-dried. 8-)
The lead drier works better with high humidity, manganese driers with low humidity. Lead-dried oil is also more flexible and is essential if you're trying to make oilcloth. The best formulation (and that used for centuries) is a mix of both. A mixture is the one that avoids the shrinkage problems.
If you're using it for rifle stocking, you also care about the residual acid levels, which many of the supposed "authentic" makers are somewhat lax about.
There are very few buildings where it's important to use lead paint for authenticity. However there are rather more bits of engineering that aren't "buildings", where it's much more appropriate. Trying to convince English Heritage (or Cadw, in this case) of this need for a non-building is a whole new can of worms.