question regarding the Bohr effect and Haldane effect

[Thonzo]

according to the haldane effect
( "Principles of Animal Physiology" Chistopher D. Moyes) "Oxygenated hemoglobin releases bound H+ ions...and shifts the CO_2 -bicarbonate reaction to the left, reducing the amound of HCO_3- in the blood, and reducing the amount of CO_2 that can be carried. In contrast, deoxygenated hemoglobin tends to bind H+ ions, increasing the PH and HCO_3-, and increasing the amount of CO_2 that can be carried."

according to the Bohr effect
(...) In Bohr effect, a decrease in PH or increase in Pco_2 reduces the oxygen affinity of a respiratory pigment shifting the oxygen equalibrium curve to the right. Protons (H+) cause the Bohr effect by binding to a respiratory pigmentat at a specific site...Proton binding causes a conformational change in the respiratory pigment protein that alters its oxygen affinity."

? would It be accurate to view the two as the same process but with the haldane effect from the perspective of Co_2 and the Bohr effect form the perspective of O_2 ?