Virtually all popular local (ie. non-hosted) Bitcoin wallets on Android are lightweight wallets. They do NOT download the full blockchain. They do NOT listen to

Virtually all popular local (ie. non-hosted) Bitcoin wallets on Android are lightweight wallets. They do NOT download the full blockchain. They do NOT listen to all Bitcoin traffic. They use the Simplified Payment Verification (SPV) mode. https://en.bitcoin.it/wiki/Scalability#Simplified_payment_verification https://en.bitcoin.it/wiki/Scalability#Simplified_payment_ve... Apple would have zero reason for banning such lightweight clients, as they consume no more resources than a typical app.