Clingy pets!

Im 35 weeks. And my usually rude cat that likes to play rough and fight... is all of a sudden super clingy and actually lays down next to me to nap.

And lets me pet her, for longer than a minute! Lol. Ive been having braxton hicks for 2 weeks already..

Some tell me clingy pets is a sign labor is near.. have you guys experienced this? Or know about this?