I don't think the #1 has much to do with it (aside from they are usually better players), it's more to do with people drafting/signing their own players, which in turn somewhat handcuffs those owners who tank drafting budgets to sign FA. You can make an argument, based on contracts and the FA pool in MLB, that the top players don't get to FA, unless they aren't wanted by their previous team (see Pujols, A.), in most modern cases, they are extended before they get to FA.
I don't have a problem with his demands differing from his usual demands (i.e. those set as his demands at the beginning of FA), you could use a modified arbitration demand, or double his system derived demands for 5 years and a no-trade clause, at least i have the option to "negotiate" and choose whether to take the terms, what really gets me is the nature of the system, such that the choice is made for me by the system and I have no decision to make. It's even more distinct in HBD since you are limited to the length of contract you are able to offer in the first instance, in my example i'd have happily gone over 5 years, but I can't, so when that contract comes to expire, the fact i am blocked from offering an extension, grates that much more. The system is in essence forcing my players into the FA pool, when the choice of whether he goes to FA or not should be mine.