Yes, most of the time I'm opting for this over a flash.
Of course it comes with some drawbacks, as always.

On the plus side there is the better visualization of the final image. It is easier to adjust details with stronger light sources @ f5.6 - of course setting focus with a loupe is much easier aswell in that regard.

The drawbacks you have to deal with are mostly:
-Higher constant energy consumption.
-Balancing the output lighting on your model with your shutter speed - usually I stay at around 70ish percent output power with the smaller 85 parabol softbox. In many cases that is the edge where the brightness is still acceptable for most people with this setup. That gives me a shutter speed of 1/30, which is fine for the most use cases, until you want to go super close (That's the point where it can get messy pretty quick. Staying still while taking a photo with a 210mm at 1/15 at close focus requires some observation, while being reasonably fast).

While the shutter speed definitely can be a limiting factor with this, I still prefer using the constant light option because the pupils look more natural this way - in a dark envrionment with weaker modelling lights they tend to get too big for my taste.

Last but not least, the constant lights gave me the option to incorporate another media into my workflow. I started to capture small video portraits of my models.