Empathy means you put yourself in the shoes of others - you can feel what they're going through even if you're not experiencing it yourself. Empaths are (usually) caring and considerate of how their actions affect others. One of the main triggers for me with Sarah initially was her self-absorption and lack of caring. There is Sarah's way and everyone else is wrong/a hater/doesn't merit consideration. She has shown time and again she doesn't care if her "health" messages are harmful, could affect young girls' health. She has shown she doesn't care about the environment with her fast fashion and choosing foods with unnecessary packaging. She is never open to hearing other people's opinions on matters if they disagree with her own.
Being teary and crying regularly is not the same thing as being empathetic towards other people.
Empaths also are very good at reading a room, a situation, a person's feelings. Sarah has never shown the ability to do any of that. We've seen she often doesn't pick up on Fox's cues. Remember when she was on the bikini shoot and in Oceana's stories, Oceana literally rolled her eyes and said, "My followers don't want to hear about that," when Sarah was being over the top about her body - Sarah was oblivious, she didn't pick up on any of it. She is not in tune with others and has always made it very clear she is the centre of attention, it is all about her (even her monologue the other day about wanting to be there for others, she kept on inserting herself into the middle of it, it was all about "I want to be the person that you come to, I want to lift you up" - it was literally about her, and also taking nearly an entire year to address COVID in this manner, to even realise it could be affecting other people in a serious manner, says all you need to know about just how empathetic she actually is).
ETA, if she is actually crying every day I do hope she gets some help because something is going on and it could only benefit her and her family to reach out for some help.