Your question has prompted me to go ask one of my favorite escrow officers. I think it might be semantics, but there are liens against the property (mortgagees, utilities, etc.) , there are contractual liens related to the transaction (broker demands which specifies compensation based on the listing agreement/purchase contract), and there are other identifiable liens like paying for pest inspections, repairs etc.
I'm not sure now that they're all called 'demands' or not...but the objective is that an escrow company must provide to the buyer a property that is free of all claims to the property at the time of purchase. The escrow company must execute the contractual terms without bias to any party. If someone provides a claim for some payment, and it's not in the listing agreement or purchase agreement, the escrow company needs to get authorization from the party(s) involved in order to pay that. They can't just pay it arbitrarily.
So now I'm going to call my escrow officer and ask whether there's different names for these claims or whether they're all called 'demands'....but again, why do you ask?