Engineers viewing design as a 'less prestigious' role is laughable. The compensation for these tracks is pretty much equal. I would love to hear you spell out why exactly you perceive design as less prestigious.
For salaries – see e.g. levels.fyi for quick comparison. Even Google – a company not really known for valuing design that highly: SWE L6 avg. = 520K USD. Product Designer L6 avg. = 515K USD.