Multiple New Zealand athletes were among those to miss out as 3000 new MIQ spaces were released on Monday.
The revamped competition may be staged over four consecutive weeks.
"Athletes have nowhere to go, they have no say, they can't affect change in the system."
NZ Rugby has cancelled or postponed games, with the country locked down for COVID-19.
The squads are scheduled to depart for Australia and Bangladesh respectively in the coming days.
"We have to continue trying to make the system better and it's not good enough at the moment."
The 24-year-old Olympian died on Monday.
Podmore's sudden death this week has raised urgent questions about the culture of elite sport.
Performance psychologist Rod Corban says all athletes struggle at times.