I agree, especially as the first time the similarity is mentioned (I think) is by Gula, just before he reveals what's written on the lost page to Skuld and Player. It's been noted that the words of the page, presented alongside Ava and Luxu's conversation, seem to point to Ava. Hence it's interesting that Skuld has just been compared to her, even if the link between them is just in their psychology, sort of like
@Ink Ribbon suggests with the Greed idea.
Skuld being Ava or working with her does seem a little tricky though, as her giving Brain the note and also confirming to him that the leaders weren't supposed to meet beforehand would seem strange. If she wanted to replace Strelitzia, she wouldn't even need to give Brain a note; she could be framing Ven but then it's odd to suggest the leaders weren't meant to meet, implicating herself and not Ven.