I have found the xfr:ipaddress directive which can be added to MIAB's DNS secondaries config and that notifies the secondary of DNS updates immediate, which seems to have solved the problem.
I'm doing more testing, and will report if anything is not yet working correctly in this regard.
It turns out that the xfr: protocol doesn't automatically trigger a secondary to update from the primary. Does anybody have advice on how this can be done, specially in the context of MIAB and PowerDNS?
In BIND we simply configure where to send notifications when the zone changes. You may get better answers to that question by asking in either MIAB or PowerDNS forums. It's pretty off-topic here.