Iceberg blooms are definitely fragrant. Not strong fragrance but definitely present. Also leaves and blooms are not exactly like Iceberg in my opinion.
Olga

Thanks for your help, Olga...it defintely has no fragrance, so it must not be iceberg.

I noticed something today that I have never seen -- it put out 1 pink tinged bloom.

I like the rose very much because it blooms continuously all summer in partial shade. So, I will just enjoy it and not worry about what it is!

I have a floribunda, Fabulous, that is very similar to iceberg and sometimes the blooms are tinged with pink. It usually has candelabra type blooms though. These appear to be single.