Mobs despawn with name tags on.
I play a world with two of my friends and we've name tagged a couple of mobs in order to prevent them to despawn. In our last couple of playing sessions all of our mobs that we've name tagged have despawned. They were within chunk borders the last time I checked with a chunk border texture pack. I don’t know why they are disappearing.
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Nope, the mobs are within the chunks not at the border

I have had this happen as well. I play on a realm with my family, amd we have had named mobs randomly disapear. The quickest being within 10 minutes without leaving the chunk.
Are the mobs on a chunk border? If so, this bug is MCPE-21416