Chord name choices in Hookpad

Hello everyone, I understand that naming chords is a challenge, especially when using four voices and names of chords that have more notes, e.g.
Cmaj13#11 shows in the piano the same notes as the Cmaj13 (no #11)
while Cmaj9#11 shows the #11 instead of the third as the Cmaj13#11.

Maybe if there is an explanation for this it could help us understand other choices.

Thank you.