Is IV needed in ECIES?
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.