Because the ß == ss case is special in that there are numerous words that can be written both ways correctly, there are numerous words that can be written both ways sometimes and often the meaning depends on whether the most common form is written with ss or ß. And Swiss German allows replacing ss for ß as a normal way of writing everything.
Whereas for umlauts ä, ö and ü, the forms with ae, oe and ue are always "emergency replacements", even the Swiss use äöü very frequently (though not always). Also, there are almost never ambiguities when replacing ä, ö, ü -> ae, oe, ue. Yet there are very frequent ambiguities when replacing ä, ö, ü -> a, o, u, because singular/plural, conjunctive and other forms are derived that way and sometimes there are just different words that only differ in one vowel being an umlaut.
So there is a difference in the chance of being wrong when picking one form of a word for another possibly equivalent one. When you do ss == ß, you are often correct. When you do ä, ö, ü == ae, oe, ue, you are almost always correct. When you do ä, ö, ü == a, o, u, you are almost always wrong.