Which of these names will date badly?

Look at the graphs for each on https://names.darkgreener.com/. A sharp increase in popularity is usually an indication that the name might be faddy. Babies called Maeve in England & Wales since 1996 - Maeve is probably the worst on your list, followed by Ottilie. Babies called Vivienne in England & Wales since 1996 - Vivienne isn't popular enough to date badly imo.

Zander usually Xander or short for Alexander
Jude - very popular. Babies called Jude in England & Wales since 1996
Noah and Theo have been overused for ages, so will fall out of favour before long.

Alexander nn Xander and Vivienne are your best bet for not dating badly.

I don't really like any of the names.

Ottilie is very "people on MN suggested this" - quite self-conscious iykwim. It rarely works well irl, to my ears.

Zander sounds like a zany 90s nickname and to me, doesn't sound like a natural shortening of Alexander or a name in its own right.

Theo, Jude, Noah are all nicer, fairly popular (especially Theo) but not overwhelmingly so.

I think Maeve will date, here in Ireland it's quite dated, most Maeves I know are in their 50s and 60s, also think Ottilie will date, and Jude, much as I love it, will date

They are all timeless, classic names, apart from Zander, which sounds like a diminutive, so Alexander would be better.

All of them - because all names do.
Vivienne - having a moment now, so will date soon enough.
Clara - classic but already dated as a Victorian-style name.
Maeva - like Vivienne, having a moment now.
Ottilie - probably on the way out already.
Zander - OK, will last a bit longer, but use Alexander to be safer.
Theo - been around for a while. It’ll be OK for a bit more.
Jude - like Theo.
Noah - very dated already.

I think Ottilie and Jude are most likely to date badly as they’ve risen up the charts so quickly and were very rarely used in the past.

Shorter names are popular rn
I would say Ottilie and Vivienne might fall soon. Vivienne was trendy among celebrity few years back, while Ottilie has spelling issues.
Clara is international but there's pronunciation difference in English speaking world. Maeve shoot up charts fast, so might fall of charts fast.

All boys names are trendy rn.