From the pay data I've seen Google pays more median total comp than others. Uber, Pinterest, AirBnB, Lyft...etc might pay more but not in liquid comp.
It didn't happen for snap.
Otherwise, they're only profitable in some markets and have gotten regulated out of others. That leaves them with the options of scaling back or running at a loss. Neither if those confidently signal "value me higher than Costco or Adobe".
Uber already has more net revenue than Adobe. It has slightly negative profit margins but is growing significantly faster than Adobe, suggesting that there is plenty of room to let off the gas and let profitability take over at the expense of rapid growth.
In that light, it seems perfectly reasonable that it would IPO at a valuation similar to Adobe.