Instead of using the indirect signature of increased spin-noise power, we wish to directly demonstrate the spin-noise correlations that spontaneously emerge in multi-species vapors and further study their ramifications for measurement precision in spin-exchange dominated atomic vapors. Studying this effect at even lower magnetic fields where the magnetic resonance line width is not anymore dominated by spin-exchange is a natural next step. We would also like to connect these studies with the general goal of quantum metrology of achieving sub-shot-noise spin fluctuations towards enhancing the precision of spin measurements such as in atomic magnetometers.