Note that if supported by the font you use, the three symbols will usually be drawn the same way as an asterisk (*) in that font. This means a lot of variation.

Your browser’s rendering: */⁂

Several typefaces’ rendering of Unicode U+2042 ASTERISM:

I think the diversity is alright! It’s like the Fediverse: instances follow a standard to work with each other but can be heavily customized without breaking integration.