Pull/Push itself is not the problem unless you have stats to back such implied claims. It is far more likely that your highly inefficient Pull/Push implementation caused the problem. Without any real insight on why the pull/push based approach is slower, there is nothing the "Go community" can get.
All valuable details were omitted, e.g. 1) how much data is being moved? a few megabytes? what is the state of art latency? maybe 0.001 second for that? when latency is still seconds huge, what can be further improved, in the go runtime or in the apps? etc
A highly efficient pull/push model without using go channel can easily beat your 1-5 seconds latency. A crappy implementation using channel can get worse.
Delay of several seconds is when you pass on information mouth to mouth, in 2023, that kind of delay doesn't justify a blog article on such fancy implementation. I'd suggest you to delete the implementation to rebuild from ground zero.