the 74HCxxx series, from TI shows 50 Ohms at 5V and 100 Ohms typ at 2V. ESR not 1067 ohms.
But one should expect wide tolerances, unless one is on a tight budget for current.
A RED HB LED at 2V ( ~15Ω ESR) and the HC132 ( ~150Ω ESR)
However the coin cell if used will have an ESR of several kΩ , which dominates the current limit.
But if a primary large Lithium cell of 3V were used, one could expect
(3-2)/ 165Ω nom = 6 mA with a 3V cell. The LED would be very dim at 2V as it's actual threshold is 1.85V.
Sorry, I dont understand your contradiction on HC132 ESR.