You are 100% right. So I went back to my Hermes and set it for 3 x 384k stitched receivers. 1.1 MHz BW. FFT set at ~ 11 Hz
On my Lime, 2.5 MHz BW was the lowest I could select in SDRConsole. FFT showed 9.5 Hz
On 9.505 MHz, strong religious broadcaster, Hermes showed peaks at 70 dB above the noise. Lime showed 45 dB.
Not 100% scientific... But this is typical of what I'm seeing.