As I understand it, since RemoteChannel is essentially a reference to a Channel{Any}(1), the number of values it has stored is either 0 or 1. You can distinguish between these two cases using isready.
I try for understand how to view numbers of elements for logging purposes. Anyway, in case of Channel it is really clean. But RemoteChannel is a black box. For example in RemoteChannel{Channel{Any}}(1, 1, 4) the (1, 1, 4) is not informative at all.
Sorry to revive and old thread, but I recently came across the same issue and solved it as follows (Julia 1.10).
From the master process, it is possible to access a RemoteChannel’s underlying Channel via
Calling Base.n_avail(channel) then returns the number of queued elements. The underlying channel can only be accessed from the master process, so if you want to get the number of elements from a worker process, you need to wrap everything in a remotecall_fetch.