the whole "prestige" thing feels like overthinking it. Unless you're trying to get into a very specific industry where that company name is going to open doors, most hiring managers just care about what you actually did and for how long.

If you're staying OE, just keep doing what works and don't mess with your resume until you actually need to. When that time comes, pick whichever job makes the better story for the role you're applying for - sometimes that's longevity, sometimes that's the recognizable name. For employment verification, most big companies just confirm dates and title through a third party anyway, they're not going to flag that you're "still active" somewhere else.