So you do think aiki jujutsu means aikido minus spirituality/philosophie?
I wouldn't agree.
Yes. Minus O'Senseis you get daitoryu I would say. It is precisely his spiritual and philosophical change that brought Aikido into being and thus took it far away from daitoryu or earlier jutsus.
When people think of religious they should think of spiritual instead of name of religion for all religion is about your spiritual well being.
The principles O'Sensei used and promoted as Aikido were spiritual principles found in all great religions. Thus the principles it's based on are different to all the other jutsus, in fact almost opposite to and the purpose of it is also totally different.
Thus to me they arn't even close in usage or purpose or application.