That looks like short term lease with a given number of days.. and long term lease (at least 6 months required) but with more freedom of days.
I'm more of a lease by month owner myself.. but if the girl likes him, I may ask her to go into a 6 month minimum contract with my horse.
Some people like to short term lease FIRST, then if they like the horse they lease for longer or stop and keep looking.
I learned something new about free leasing. I knew that they went to the lessees' chosen place and the lessee payed for them but I didn't know that the owner abandoned all costs.
But I agree with crimsonsky.. I started with partial lease then it turned into half lease once I got a better understanding of how leasing worked and if I liked the horse, etc. Also it's a lot less responsibility and you're less likely to get into trouble where something happens to the horse and you can't pay your half for the vet bill.
Free lease.. to me.. is like you want a horse but you don't know what your future is like. It's your horse, but if something happens that you have to move, then you can just give the horse back.