Isn't interactive the logical way to go? It's a petsite: Isn't some form of interaction with your pet expected?
And why you think of Neopets when you hear "interactive virtual pets"? VirtualDog's pretty interactive, so's the Petz series, Fin Fin, SwineOnline, etc. Compared to Neopets, Psypets is pretty interactive too.
Neopets actually doesn't seem very interactive to me compared to these other examples. You feed your pet to make them full, you read to them to make them smart, you train them to fight, you use an item to make them different colors... Is this sounding familiar to anyone else? I would say the biggest way Neopets exceeds Rescreatu's level of interactivity is that you can dress up your pets, and that sometimes your pet will randomly talk to you. And these are not the only directions you can go when making virtual pets interactive!
Of course, I would guess that any suggestions for a more interactive Rescreatu would be for the distant future considering the state of the site.