As a fan, I often accept that what made a character work originally may not work for modern audiences. The task of any creative property is to gain an audience, not cat to the shrinking dying original audience. At the same time, you have to keep in mind that something made Red Sonja popular in the first place, and if you get away from it then are just making your own character.
What I find interesting in the relaunch is what they did to Red Sonja's personality. The chainmail bikini is still there, and visually she is as gorgeous as ever, but someone decided that they needed to make Red Sonja ultra-serious.
For example, this is Red Sonja in a bar back in the 70's.
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Past Red Sonja drank, laughed and was kind of an ass to people. Red Sonja is your worse behaved friend except she is really hot.
Now look at one of the few times we even see a bar in Modern Red Sonja
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Moody Red Sonja is deeply moody and political.
This is pretty much the tone for the new series. New Red Sonja is quiet, stern and ready to cut people. She is almost Clint Eastwood's Stranger With No Name except everyone knows who the redhead with the big swords is.
It is a curious choice when you consider that the most successful woman warrior in recent memory was Xena. Xena had it's share of pathos but it also intersected with slapstick comedy. Men and women obviously responded well to this mix, but Dynamite chose a more lone gunslinger approach to their heroine.
One reason for this darkness may be due to Dark Horse's relaunch of Conan. New Conan is much closer to Robert E. Howard's version, which is to say he is a tough son of a bitch in a very tough world. It is a grim world with grim consequences. Sword and Sorcery comics are a hard enough sale in modern days, so maybe Dynamite played it safe by imitating the only other comic like it out there.
I suspect though that the grim plots come from an issue of respect. Red Sonja's chainmail bikini has become synonymous with silly fantasy pinups. Whether the fans like it or not, chainmail bikinis are hot, but also inherently ridiculous. Add to that the fact that the movie was such an atrocity, Dynamite might have been afraid that their property was going to turn into one big joke.
Hence the dark plots that look like they were written at Dark Mountain under the dark shadow of Dark Castle by Robert E. Poe. Heck, considering that New Red Sonja is still going strong and has had six times the number of issues that the Marvel series did, maybe they made the right choice.
Personally, I miss her smile.