I'm not sure about Colorado, but in Wa. this type of call would initially be a "welfare check" (not to be confused with welfare recipients receiving their payment). Typically this would have been comprised of 2 Officers going to the residence and conducting a quick investigation of the circumstances.
This is usually done at the request of someone (can be anyone) who called and voiced a concern for the safety or well being of minors in a given residence. This gives Police the right to go inside any residence in question (without a warrant, as it is exigent circumstances) and make sure that the children are safe, properly nourished, and Check them for any signs of abuse.
In the Co. case it was based on medical personnnel's complaint that the child may have been seriously injured (bumped head) and needed to beseen by a hospital. A parent refusing to provide proper medicalcare for a child could be viewed as neglect. This factmade this call a higher priority than a welfare check. The Judge also issued a writ of habeus corpus (seizure of a person) for the child.
Typically with a potentially serious head injury, it is highly recommended that the person be monitored in a hospital for 24 hours, as one canlose consciousness,and die.
The other factor was the threats or comments that the parent had previously made to the PD. this is what prompted the SWAT response.
I personally once overheard a gentleman talking at a local gun show to another man. He said that if he ever saw the Police coming up his driveway, he would shoot them all. I was able to discern his identity and address, and logged this info into a database for future reference.
As you can imagine,a response to his house would be far different than a typical one.What some may consider "loose talk", may betaken very seriously by others.