Kent Hrbek went through the minors in a hurry. Hrbek started out at Elizabethton in rookie ball for a few games in '79. played low-A ball at Wisconsin Rapids in '80, high-A at Visalia in '81 in the California League, and then to the Twins for 24 games late in the '81 season.. so basically two years in the minors.
Matthews signed late in 2022 and made 2 appearances that season. in '23, he made 22 appearances with 20 starts at low-A and high-A. in '24 so far, 4 starts at High-A, 9 starts (10 appearances) at AA and 4 starts at AAA. so if my math is right, his minor-league career has 42 appearances with 37 starts for a total of 205 IP.
by comparison, Festa has 64 appearances with 55 starts in the minors for 265 IP. SWR had 98 appearances with 92 starts for 411 IP.
of course, Eddie Bane went directly from college to the Twins in 1973, and spent the rest of the '73 season with the major-league club. but Bane wound up spending parts of 6 seasons in the minors and his entire major-league career was over after 44 appearances and 25 starts.