Why is it not enough to find one global sequence for all transactions ever made?
There doesn't exist such a sequence.
Nonetheless, the answer is 'yes' is it not?
Profitability of mining has nothing to do with the miner's economics of double-spending.
I'm afraid it has everything to do with it:
In bitcoin the recipient of a transaction knows that they can wait for 1 block to safely accept up to 25 BTC*, because the double spending miner might as well just take the block reward rather than bother with the double spend. If you remove the block reward, it becomes very difficult to judge when it is ok to accept a transaction because you have removed the honest miner's incentive and therefore part of the game theory.
It seems to me you lack the imagination and creativity to paradigm shift the problem space, hehe.
It seems to me that your design is likely to be broken because you have not elected to peer review your work before implementing it. Remember when you were talking about 99% attacks? If you had peer reviewed at that point, we could have explained why that wasn't going to work.
*)
https://bitcoil.co.il/Doublespend.pdfThere is a technical problem associated here with blocks, as pointed out by smooth, in that a double spending miner can attack multiple victims at the same time in one block. But that's another conversation.