As above. And I would add that you don't want your carefully crafted shadows filling in with light of
any colour temperature.
Sadly, this is the bit that most beginners, including some people who don't know that they're beginners, don't seem to get. Studio lighting is all about
creating and controlling light, it isn't about the quantity of light per se, it's about the quality. In other words, it isn't enough to be able to manage with the quantity.
There are odd (and expensive) exceptions, but most continuous lighting as used in home studios lacks quality as well as quantity. It's usually impossible to use a good range of light shapers, it's usually impossible to get enough power, so even if the lights have adequate (any) power adjustment, people tend to use them at full power, and to use them close to the subject even if they don't want the lighting to be soft.
And, with the stuff at the cheap end of the market, regardless of the claims made by sellers, the fluorescent lamps are very likely to be designed for home use, not photographic use, and to have a very low CRI. This has NOTHING to do with colour temperature and everything to do with the colour rendition, i.e. the accuracy or otherwise of how different colours are reproduced.
I'm not against continuous lighting. Lencarta has the
QuadLite, which without doubt is the best available in its class, and it is perfect for video, which is what it is designed for. A lot of beginners use it for still photography and it's by no means unknown for me to use it for some small still life jobs, but at the end of the day flash is a much better choice for most people, most of the time.
Of course, most of the people who buy continuous lighting for still photography probably do so because it's cheap and because they
think that it's easier than flash. Well, it's easier I suppose than hotshoe flashguns or cheap studio flash heads that have inadequate modelling lamps, but people who are in the market for continuous lighting really ought to think about the quality of the light, because if they do that they will generally end up either with studio flash or with the much more expensive continuous lighting that has enough power, plus the ability to fit a full range of light shaping tools.