Isn't the EAS encoder supposed to be placed last in the airchain, right before the transmitter? I don't think the EAS is allowed to go through an audio processor. So the only way for an EAS alert to make the web stream is if they feed the stream off the air, or tap into the airchain right before the STL.
The EAS went off in the middle of a song on the stream and when the test ended, it resumed in the middle of the same song. I don't remember if it was a weekly or monthly test. I know that stations have little control when a monthly test is aired, but they have more control for a weekly test.