So I have caught two Starscape Zols (the first one didn't have a visible trait), but the second one isn't showing up. The end of my battle said I caught it, but it isn't in my stable?

Unfortunately there's no trace of a second Starscape Zolnixi in your stables or on the advanced search.

When the battle ended, did you see the text in the battle log say "Starscape Zolnixi has been added to your stables!" ?

If you didn't see this text, the pet probably ran away or had its health run down to 0.

Didn't do any damage to it, and I'm pretty sure, I never pay much attention to that ending stats page. I used like 6 standard traps and 3 greater traps to get this thing, too...

Forgot to ping you

Ah, well unfortunately it probably ran away then. ^^;;

The message will appear in the battle log underneath the ending stats window, and it disappears after you close that page, so it's really easy to miss. When a pet runs away, it will say in red "Scared, _______ has fled the battle!" I suggest always checking the very bottom of the page after every battle.

Sorry to say that there's probably nothing to be done about it but hope that you find another one. :(

I've been battling a bunch more and literally all of the Themed Pets flee. This is honestly more frustrating than trying to catch an Abra in Pokemon.

I know how you feel :( It can be frustrating, but I'm sure eventually it will pay off for you!

I know some people say that pets are less likely to flee when their health gets low - I personally always try to get it down under about 1/4 of its health before I try to catch. I don't know if this is absolutely true or just applying pokmon rules to this game, though. ^^;;

I've been getting them down to near nothing before I try catching them, simply out of habit XD but now I'm out of Themed Attraction Perfumes so who knows if I'll see another one any time soon

Ah, I see xD Well, I'll keep my fingers crossed for ya! Good luck!