The impurities in HCl vary
For trace metal analysis there are around 30 impurities but their amounts are extremely small indeed. Then you have lab quality impurities, about anywhere between 20-30, once again impurities are kept to between 0.001 up to 0.1 parts per million.
Impurities can consist of so many chemicals that I care not to list them all, but these are acceptable under the above circumstances and are I Presume? a natural consequence of the manufacture under the strictest conditions.
One example is chlorine, that is not in a product of lab quality, but in a lesser quality it can be 2ppm, this is one of many examples. But for etching, no need to worry about this at all.
36% - 38% at a specific gravity of 1.16 to 1.18 is considered the de facto standard concentration for most purposes. But as for the professional scientists and their work, I have no idea what is possible. We do not use the term muriatic here in Europe, I presume it is American, you certainly would never find it for sale to the general public in a store.
I have never distilled HCl but heated up on a number of times in order to concentrate a particular reaction, for example making ferric chloride, heating gently will of course evaporate water, no harm in this, but I would never boil it.