Is IV needed in ECIES? Is IV needed in ECIES (Elliptic Curve Integrated Encryption Scheme) used with AES-CTR?

The ephemeral key pair is generated randomly therefore the encryption key derived from the public key must be random, too. As I know, IV is required only if the symmetric encryption key is used more than once, but in ECIES, every time an ephemeral key is generated, new encryption key is derived from that.

Am I right or IV is still recommended in ECIS w?
Pedantically, you always have an IV with AES-CTR; you need to start counting somewhere.  So, your question really is "do I need an explicit IV, or can I use an implicit all-0 IV"?

With AES-CTR, the important requirement for IVs is that you never reuse the same IV for the same key.  With ECIES, you'd reuse a key only if the sender used the same random number $r$ twice (and used that common $r$ to encrypt to the same public key).  Assuming that you never do that, that is, you always pick a fresh $r$ whenever you do a public key encryption, then you are correct, using an implicit fixed IV is just fine.