Sure, the CT sensor is a coil, it will pick up any changing magnetic field in its vicinity. But I've dealt with similar issues many times and found that it is not one but many things that cause it. When a motor starts or something like that, there are multiple paths to a circuit such as you describe. With noise and interference issues, a deep dive is necessary to get real answers.
For the images, try to expose details of the wiring and housing etc.