Philomena Cunk’s thoughts are always priceless:
The whole bear vs bare debacle (leaving the arms out) is further complicated by Fuzzy Wuzzy.
You remember the poem, right?
Fuzzy Wuzzy was a bear
Fuzzy Wuzzy had no hair
Fuzzy Wuzzy wasn’t fuzzy
Was he?
Clearly Fuzzy Wuzzy was bare. A bare bear.
But did he have arms?
This bit of nonsense is brought to you by the JusJoJan prompt: arms.
Hot Dogs and Marmalade 
How can they give bear hugs without arms?
Perhaps changeable. If they are standing to give a hug, arms.
If they are on the run with all four, legs. Like a transformer.