Believe it or not, no one is contradicting anyone.
AIP ENR 1.1 para 64.5 Circuit Entry
64.5.1 Entry to the circuit depends upon the direction of arrival and traffic
conditions. The recommended methods for entering the circuit
are as follows:
a. From the live side, arrive at the appropriate circuit altitude before
entering the circuit. Approach the circuit on a course 45° to
the downwind leg and join the circuit abeam the middle of the
runway; or
b. From the dead side, arrive at the appropriate circuit altitude before
entering the circuit. Turn crosswind between the departure
end of the runway and the middle of the runway. Give way to
aircraft established in the circuit and on the 45° entry to downwind.