Well, if your home internet connection's TOS prohibits running servers then it could be a CFAA violation. It would involve exceeding the allowed access (of the ISP's routers) of a computer involved in interstate commerce (the ISP's router is almost certainly used to buy things across state lines, someone has gone to Amazon or such).
> It would involve exceeding the allowed access (of the ISP's routers)
That's quite a stretch. You, the server hosting customer who pays for internet access, aren't "exceeding the allowed access". Your website visitors are accessing your server. If there's a thundering herd, the ISP is allowed to protect it's network accessibility (IIRC Comcast did this and the FCC lost a lawsuit against them[1] afterwords).
Typically ISPs care more that you are actually abusing the expected bandwidth of your connection (thus deteriorating service quality for your neighbors and eating into your ISP's profits), not that you are running a server at all. Every time you have to open a pinhole in your home router, you are "running a server" of a sort.
I'm an advocate for the principles of Net Neutrality and to clarify the vagueness of CFAA, but I don't have a clue how to implement them.