Just from experience the wood and bark of jujus are so hard that it is really difficult to do a scratch test. They notoriously take their time waking up and some of mine woke before others did. If the branches are still supple I would wait unless you are positive there is no life. And several of those lateral branches are not going to leaf out. The smaller lateral branches will be shed after one or two years. My first year with my Li I was surprised that it “self pruned”.
I have Li, Contorted, Chico, Honey Jar that all fruited last year. I have Lang that has not fruited and I have now added SiHong, Xu Thou, Jin Chang, and Redlands #4 from England’s. They were all bare root this spring and are just now getting green. I also have a little Sugar Cane that I planted last fall and a small Autumn Beauty from OGW that was a potted plant. So I guess you could say I’m Jujube crazy!