In states that register by party, yes that info should be made available.
I do know how the Suspense List works. In December of odd-numbered years all registered voters are to be mailed a replacement voter certificate. That is a non-forwardable piece of mail. If it is returned to the voter registrar as undeliverable then the voter is placed on Suspense and is sent a forwardable Confirmation Notice. If the voter returns the Notice indicating that they still live at the same address, they are returned to Active status.
My son landed on the suspense list. His wife did not. They purchased a newly constructed home and I assume the mail did not get to him. They don't vote in primaries and live in a very red county in a very red precinct. (Mary Lou Retton lives in their neighborhood..LOL). So, it is a formality based on undeliverable mail. There are lots of GOP on the Suspense List too. However, voters who move frequently (renters) are more likely to land on the Suspense List. These tend to be younger voters.
Voters who vote in primaries are much less likely to be purged than voters who do not. So hence people who vote in Democratic primaries and/or Republican primaries are less likely to be purged because participation in elections keeps their voting info current.