It may be that Denmark simply does not recognize (use) the two different designations for ball ammunition,
even though they probably should, since the M39/B load from Sweden is very “hot,” well above M39 or Danish M41 pressures, I believe. It is basically one of the few true Submachine Gun loads and while Sweden used it in pistols
also, many in that country believe it should not have been. Cracked upper receivers on Lahti M40 pistols were not uncommon using this ammunition, and a friend of mine from almost 40 years ago (I toured Germany with him, as well
as Southern Sweden) cracked his SIG P210 slide using it in service.
The box itself is not a repack of a Swedish box or Danish box. The initials HMAK, which at the moment, the meaning of which alludes me, is purely Danish and the lot number from Swedish Plant 070 indicate that this was a contract for Denmark, so the designation of M41 is undoubtedly correct, regardless of the Swedish designation for the load provided.
The cartridge weights are inconclusive because it is possible that the M41 round as loaded in Sweden used the Swedish bullet for the M39/B, which as I recall, has a much thicker jacket at the nose than does the older M39 bullets, much like the nose on the commercial Norma AP ammunition. However, it might be loaded for Denmark to lower pressure using less powder (or it might also be the identical load - I really don’t know). A round from a similar Danish box in my collection, lot number 002-070-80 has an overall cartridge weight of 172.0 grains while a Swedish issue round from my collection, of unknown lot number but headstamped from factory 070 in 1972, weighed 170.7 grains. That is within normal weight differences for cartridges of the same loading, but with manufacture eight years apart, and the possiblity of different powders used, it is not, in my opinion, conclusive to identical loadings of itself.
The color of the seals on the Danish round are almost a violet color - a very dark red, as opposed to the normal bright red of Swedish Ball M39/B, but that could be entirely meaningless as well.
AMA in Denmark has seemed not to have made any 9mm for some time now. Most of the military ammunition see,s to come from 070 in Sweden, and police loads are contracted out to other makers, Fiocchi being one of them.
Perhaps one of our two knowledgeable Danish collectors could sort this out for us.