Welcome Silver Hair, John.
And thats by no means long winded, the more info the better
They have indeed informed you correctly, the sync and ready lights are the key, if they are both lit then its all good.
When your radio drops do you still have an Internet connection, are you able to surf the web?
How long had this been happening, and have you ever had a trouble free broadcast?
Are you using you router as a wireless connection. And if so have you tried with a wired connection?