Hello, this probably wouldn't work, as the ATA adapter's voltage isn't quite strong enough to trigger the loud ringer. The loud ringer needs a voltage of between 60v and 100v to trigger a response, but the ATA adapter only sends a voltage of 60v which is right at the bottom of the expected range, so we couldn't be confident it would work consistently for you.
Hosiden have designed a new version of their tone caller that will work with ATA's but it isn't available yet.
As soon as the Bedlam Loud Tonecaller - ATA is made availlable we'll ave it ready for sale on our website.