If the GOP want Haley to be the frontrunner for 2028, putting her on a losing ticket is the worst idea imaginable.
Losing presidential candidates rarely get another shot at winning a presidential election. Being a VP candidate on losing presidential ticket means the end of your political career. Just go back over the last 40+ years and see how that has played out:
1984 -- Geraldine Ferraro (D)
1988 -- Lloyd Bentsen (D)
1992 -- Dan Quayle (R)
1996 -- Jack Kemp (R)
2000 -- Joe Lieberman (D)
2004 -- John Edwards (D)
2008 -- Sarah Palin (R)
2012 -- Paul Ryan (R)
2016 -- Tim Kaine (D)
2020 -- Mike Pence (R)
Just look at that list and think about what happened to these people after they were on a losing ticket in a presidential election. You'd be hard pressed to find a more insufferable bunch of misfits and losers on the national political scene.