My take on the 7:
Boswell was good, not great.
Chance: 3 years, even if 2 were exceptional, isn't enough to qualify.
Erickson and Grant: mostly remember for one really great year. Just as Roger Maris isn't in the baseball HOF, I wouldn't put these two in the Twins HOF.
Golz: This is a tough one. There are currently 9 pitchers in the Twins HOF: Blyleven, Viola, Aguilera, Radke, Perry, Pascual, Guardado, Santana, and Nathan. Probably the best comparison is to Radke, who was 148-139 in his career, entirely with the Twins. He had 1 20-win season, 1 time All Star and 3rd in Cy Young voting his 20-win season. He had a career WAR of 45.3. Golz was 113-109 in his career, the first 8 years with the Twins, and his production fell off after that. He also had 1 20-win season and was 6th in Cy Young balloting that year. Golz' career WAR, though, was only 23.1. I think there are more worthy candidates.
Perkins was only middling as a starter, but he was the Twins' closer for four years, and he was an All Star in three of them, putting up over 30 saves in each of those years. His WAR is not impressive (8.9), but he had 4 excellent years as a closer and another very good year as a starter.
Reardon is a tough call because he was only a Twin for three years. Yes, he was fabulous in 1987 as the closer on a World Championship team, but there are already plenty of players from that team in the Twins HOF. For me, another 'small sample size' contestant.
Worthington: Last six years as Twins closer, including the 1965 World Series team. I'm old enough to remember him, and five of those six years were really good - in an era where closers were not valued the way they are now. You can line his stats up with the other relievers in this class, and he looks good. His WAR over those five excellent years was 10.2. By contrast, Reardon's three years produced a cumulative WAR of 4.4, and Perkins 5 years as a closer was 7.5.
My picks: Worthington clear number 1, Perkins gets a not-as-clear number 2.