The look of a portrait can vary hugely depending on the type of modifier used on your strobes. I want to give an example of using extra large light modifiers.
While smaller light sources cast strong shadows, larger light sources cast subtle shadows and tend to be more flattering and "painterly." Combining large light sources with some heavy handed retouching can enhance the painterly effect, though it may not be to everyones taste.
Here are some examples of large light modifiers. The Orb and the Softlighter will set you back a few bucks, but there are of course, cheaper "knock-off" versions on eBay etc. I personally prefer the softlighter style for sheer practicality.
You can see from the catchlights how I used a small strobe for fill light, giving an even flatter look. This was, in hindsight, perhaps unnecessary. Shadows can add drama, and shadows from large light sources are certainly nothing to fear.
Nikon D750. Sigma 85mm 1.4 HSM. Godox TT685/X1.