No, that is not correct.
All AMD CPUs since the first Opteron in 2003 until before Bulldozer had a 64-bit integer multiplication throughput of 1 per 2 clock cycles.
Initially the Intel CPUs had a much lower throughput, but they improved in each generation, until they matched AMD in Nehalem.
In Sandy Bridge, Intel doubled the 64-bit integer multiplication throughput to 1 at each clock cycle.
On the other hand, AMD reduced in Bulldozer the 64-bit integer multiplication throughput to 1 per 4 clock cycles.
The FPU of Bulldozer had the additional advantage of implementing FMA, but the total throughput in FP multiplications + additions of the 4 Bulldozer FPUs was equal to the total throughput of the 4 Sandy Bridge FPUs.
While you are right that calling Bulldozer a 4-core CPU does not change the user expectations about ST performance, it totally changes the user expectations about MT performance.
In 2011, the people were not as shocked about the low ST performance (though they were surprised that it was lower than in the AMD Barcelona derivatives), because that was a given ever since Intel had introduced Core 2, as they were shocked about the low MT performance, seeing that an "8-core" CPU is trounced by a 4-core CPU.
After being exposed to the AMD propaganda, it was expected that Bulldozer was unlikely to match Intel in ST performance, but it should have a consistent advantage in MT performance, due to being "8-core".