How do Bluetooth headphones Inlfunce battery Life of a phone?

Hey Guys,

I’m currently torn between the Google Pixel 3a and the OnePlus 7

The 3a only has a 3000 mAh battery but a headphone jack and the OnePlus 7 has 3700mAh but no Headphone jack. I’m a heavy music listener and 70% of me using my phone is listening to music. I am wondering how much more my batter will be drained with Bluetooth headphones in comparison to classic headphones and if the 700mAh difference is negated by the fact that I have to use Bluetooth headphones.