We’ve had a couple named (and run by) ex-drivers in the late 90s – Prost and Stewart. The former rose from the ashes of Ligier, only to crash into obscurity. The latter was started from scratch, but was run well, and (Ford’s attempt to run it into the ground notwithstanding), eventually became Red Bull.
What I’m saying is, such teams are a mixed bag for ex-drivers, but more often than not, it just tarnishes a driver’s reputation (Prost, Fittipaldi, Surtees) rather than enhances it (Stewart).