One very obvious jest is that at the current rate of emoji expansion it may be inevitable to open up the next plane just for emoji.
Less of a jest is that there's always more symbols to encode. We've been a wonderfully creative species, and we're still rediscovering old written languages and discovering new bits of physics and math that can benefit from new symbols. We've got tons of interesting fictional language encodings to consider that are currently not likely to be encoded in Unicode today because they are locked in that struggle between the needs of Academia, the interests the Enthusiasts, and the money/complications of Intellectual Property laws. (Klingon, Tolkien's Elvish languages, D'ni, Timelord Sigils, etc.) But if those seesaws tip towards enthusiasts or academia that changes quickly. Meanwhile, creative artists keep inventing new glyphs and languages to encode.
That's just our one species on this planet. What if we discover more or get better at encoding existing non-human languages? Then we really get to test that "Universal" bit in the name, huh? (That's also obviously a bit of jest, but an interesting sci-fi hope/yearning there, too. It would be nice to encode some non-human languages for a change.)
So, all of the above, based on current assumptions (emojis will slow down, IP law remains vicious, Fermi's Paradox won't been solved in our lifetimes, etc) may still be unlikely to push us past the Astral Plane, but that doesn't make it silly to assume that we may never need to open the next plane.