That is normal for the Epidendrum radicans and all the other reed stem epidendrums.

You should see some of the unkempt old growth reed stem epidendrums all over Southern California.
You might find more than 10 generations of keikis, on top of each other - not a very beautiful sight.

Is it normal? Yes.
Is it desirable? It depends.
I find that new growths produced from the base of the plant produce more robust foliage and flowers compared to what the keikis can produce in their first blooming season. So I cull the keikis to allow the new basal growths to get all the nutrients.

I would keep one keiki or two for sharing and trading, but other than that I find the keiki more of a nuisance - for this particular type of plant anyway.

Thank you! I don't really care about how it makes the plant look, I just don't want to do harm to the original plant, which was a gift. So, I could remove and pot up the larger keikis, and just leave the tiny ones where they are until they're large enough to remove and pot on their own.

I had intended to remove and pot the larger babies this past summer, but forgot all about them in my zeal for gardening outdoors... there's always so much to do.

Thanks!