Pulled from the Basketball Reference “Franchise Index” pages:
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Atlanta Hawks: John Collins (2017-2018, 5.4 Win Shares, & 2018-2019, 6.0 WS)
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Boston Celtics: Tyler Zeller (2014-2015, 6.5 WS)
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Brooklyn Nets: Kris Humphries (2011-2012, 5.3 WS)
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Charlotte Hornets/Bobcats: Derrick Brown (2011-2012, 2.3 WS)
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Chicago Bulls: Ryan Arcidiacono (2018-2019, 3.7 WS)
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Cleveland Cavaliers: Ramon Sessions (2010-2011, 4.4 WS)
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Dallas Mavericks: Seth Curry (2016-2017, 4.6 WS)
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Denver Nuggets: Ty Lawson (2014-2015, 7.0 WS)
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Detroit Pistons: Saddiq Bey (2021-2022, 4.0 WS)
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Golden State Warriors: Marquese Chriss (2019-2020, 3.4 WS)
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Houston Rockets: Jae’Sean Tate (2020-2021, 3.8 WS)
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Indiana Pacers: Troy Murphy (2009-2010, 7.8 WS)
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Los Angeles Clippers: Montrezl Harrell (2018-2019, 8.7 WS)
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Los Angeles Lakers: Jodie Meeks (2013-2014, 4.5 WS)
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Memphis Grizzlies: Tyreke Evans (2017-2018, 4.2 WS)
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Miami Heat: Kelly Olynyk (2017-2018, 5.5 WS)
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Milwaukee Bucks: Jon Henson (2013-2014, 3.3 WS)
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Minnesota Timberwolves: Gorgui Dieng (2014-2015, 4.9 WS)
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New Orleans Pelicans/Hornets: Jarrett Jack (2011-2012, 3.8 WS)
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New York Knicks: Enes Freedom (2017-2018, 7.6 WS)
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Oklahoma City Thunder: Chris Paul (2019-2020, 8.9 WS, there wasn’t really a “random player” here)
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Orlando Magic: Elfrid Payton (2016-2017, 4.4 WS)
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Philadelphia 76ers: TJ McConnell (2016-2017, 3.8 WS)
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Phoenix Suns: Mirza Teletovic (2015-2016, 3.8 WS)
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Portland Trailblazers: Jusuf Nurkic (2021-2022, 3.6 WS, not a really good option here either)
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Sacramento Kings: Nemanja Bjelica (2019-2020, 5.3 WS)
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San Antonio Spurs: Tre Jones (2022-2023, 3.4 WS, & 2023-2024, 4.9 WS)
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Toronto Raptors: Chris Boucher (2020-2021, 6.1 WS)
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Utah Jazz: Derrick Favors (2013-2014, 5.1 WS)
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Washington Wizards: Martell Webster (2012-2013, 6.3 WS)