Does Chase UltimateRewards recognize Travel/Dining spent through PayPal?

I’m thinking of getting a Chase credit card. Chase’s Ultimate Rewards boasts 2x points on travel/dining, with 1x points on all other purchases.

I make most of my purchases using PayPal, so am wondering whether if I purchase my flight tickets via PayPal (linked to Chase credit card), then Chase’s system will recognize that the transaction was a travel spend? Or will it lump all PayPal transactions into the 1x category, regardless of the category that the end merchant falls into?

Has anyone had any experience with this?