No. These believers are already saved, that’s why they are called believers. They are NOT on their way to salvation.
Believers are believers and salvation is salvation. Two different things. By the way, you don’t understand what purgatory is if you think that it contains anyone but people of their way to salvation — as 1 Cor 3:15 makes clear. Read the Scripture with love and attention and you will leave the Protestant rubbish behind and be on your way to salvation in the Holy Catholic Church, too.
“No. These believers are already saved, thats why they are called believers. They are NOT on their way to salvation.”
Judgement is God’s alone.
Self-Judgement is an idol of vanity.