It's a lead, but I'd love to access the rest of the conversation, as it seems to start by disagreeing with a prior comment (link doesn't load for me).
There's also the 28.8K modem factor; even in his example the re-invising was almost immediate, a different connection speed may have re-invised prior to appearing.
To be clear, I'm not claiming bard invis song always lasted 3 ticks (12.1 to 17.9 seconds), what I am claiming is that it always lasted a minimum of 1 tick (6.1 seconds) so that a bard playing it without interruption would never appear. Groupmembers of the bard would sometimes appear if they weren't always right next to the bard on every tick and since it has a short range it is a highly risky way to travel.
But you definitely have a lead.
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cheers,
Astuce