We leave them out. Depending on when they get the seasonal toy & how often they play with them, they can be pretty chewed up by the end of the holiday & not worth packing away.
Or in the case with my Toby, there's a good chance they'll be lost out in the yard until spring since he can't seem to go outside without a toy in his mouth.
Sometimes he brings them back in, but I've found a few lying outside a few times too.
If you've got plenty of others for them to play with, and the holiday ones are in good condition, then you may as well pack them away. But then again, you know you're probably going to end up buying them more new ones next year anyway, so......