Welderup if you need paid apps and logged into Aurora you would expose the same data to Google as you would have with Play Store. Not only that but you add an extra party into the chain of trust with Aurora and reduced your security as Aurora doesn't provide the same mechanisms Play does. Using Aurora with your account would be a breach of Play Store terms and could see your account terminated.
If using an account use Play. Only use Aurora for apps misusing the Play Integrity tag to prevent installing on none GMS devices eg eBay.