I mean, what kinda dripping are we talking here? If it's 5 degrees outside in an area not used to such temperatures, you should be running the tap furthest from your source (if not multiple taps) with a low stream -- not dripping. Moving water doesn't freeze as readily; that's a physical fact of nature, bruh. Yes, your water bill will be higher, but it'll be a hell of a lot cheaper than having your walls and floor torn up to fix a disaster.

But is your shit still gonna freeze even with streaming taps if a random cold snap takes us to -10? Yeah, probably! My pipes froze this morning in the 5-degree bullshit despite dripping (but not streaming!), and I unfroze them with a space heater under the kitchen sink at a 2/10 temperature setting.

Edit: More cold pro tips for anyone scrolling by:

• Keep your sink cabinets open (if you're not doing the space heater thing). Let your house's conditioned air get anywhere pipes are.
• Buy insulating foam pipe wraps from Lowe's (fuck Home Depot) and get them on all the exposed water pipes you can find in your crawl space.
• If your heat pump can't keep the place sufficiently warm, turn on aux/emergency heat and give your pump a rest. It'll run constantly otherwise, and depending on its age and the type of refrigerant, there's only so much it can do.
• Space heaters on indoor pipes (under sinks but also at your water heater) can conduct that heat through the pipes' run into your crawl space, lessening the chance of freezage.
• Replace your rotting half-inch plywood crawl space door with something that has weather stripping and some kind of backing.
• Replace your crawl space vents with ones that actually seal up nicely when closed. If you can see light through or around them when they're closed, they can be better!
• Know where your main water shutoff valve is; if you're in the city, this may require a water key, so get one!

The difference is that by saying unequivocally that it doesn’t work can cost people thousands. By saying it works, far more people can save their pipes. Your information is solipsistic while the general consensus is backed up by the experience of many.