

Savings in battery. It’s mostly just from not running google play in the background. If you then go on to root that custom ROM you might be able to use some specific root tweaks. I suspect the savings for a custom ROM to be 10% or less. Airplane mode and battery saver will help a decent amount which is available on stock.
It is unlikely that the service itself will delete your data. Although if it is one of those job board sites like indeed that try to build a profile and sell it to employers it might make sense to delete your account so your information is no longer forwarded