Most of those make sense, especially if you are assistant. Most would move if given those opportunities. The assistant or coordinator job moves happen, that is part of the process if you are good...you move up. I would be worried about the jobs he has had where he has be removed/fired....too many.

Below has a bunch of short stops.

Sarkisian:

2000 El Camino College (QB)
2001–2003 USC (QB)
2004 Oakland Raiders (QB)
2005–2006 USC (QB)
2007–2008 USC (AHC/OC/QB)
2009–2013 Washington
2014–2015 USC
2016 Alabama (Analyst/Interim OC)
2017–2018 Atlanta Falcons (OC)
2019–2020 Alabama (OC)
2021–present Texas

Peter Carroll:

Pacific (1973–1976)
Graduate assistant
Arkansas (1977)
Graduate assistant
Iowa State (1978)
Secondary coordinator
Ohio State (1979)
Secondary coordinator
North Carolina State (1980–1982)
Defensive coordinator
Pacific (1983)
Defensive coordinator
Buffalo Bills (1984)
Defensive backs coach
Minnesota Vikings (1985–1989)
Defensive backs coach
New York Jets (1990–1993)
Defensive coordinator
New York Jets (1994)
Head coach
San Francisco 49ers (1995–1996)
Defensive coordinator
New England Patriots (1997–1999)
Head coach
USC (2001–2009)
Head coach
Seattle Seahawks (2010–present)
Head coach / Executive VP of Football Operations

Nick Saban:

1973–1974 Kent State (GA)
1975–1976 Kent State (LB)
1977 Syracuse (OLB)
1978–1979 West Virginia (DB)
1980–1981 Ohio State (DB)
1982 Navy (DB)
1983–1987 Michigan State (DC/DB)
1988–1989 Houston Oilers (DB)
1990 Toledo
1991–1994 Cleveland Browns (DC)
1995–1999 Michigan State
2000–2004 LSU
2005–2006 Miami Dolphins
2007–present Alabama

Kirby Smart:

1999 Georgia (admin. asst.)
2000 Valdosta State (DB)
2001 Valdosta State (DC)
2002–2003 Florida State (GA)
2004 LSU (DB)
2005 Georgia (RB)
2006 Miami Dolphins (S)
2007 Alabama (AHC/DB)
2008–2015 Alabama (DC)
2016–present Georgia