Someone correct me if I'm wrong, but I think you have every right to refuse to present identification, especially if you didn't commit a crime. The guard can ask for whatever he wants, but that doesn't mean you have to comply.
I always use a scorecard, provided by the casino, every time I play. The last 3 times I played at one of my local casinos, a suit has asked to see my card. I show it to them, they study it and give it back. When they asked yesterday, I said "Can you demand to see my card whenever you like?" and he replied he can do anything he wants. What the heck are they looking for? What would happen if I said no. I'm getting kind of sick of it.
The Floor is asking to see the scorecard form that the casino itself provides to you and encourages you to fill in as if it were going to be some assistance to you in determining whether that next roll was going to be Red or Black?
Why do they provide the form if they are later suspicious about it?
I think, they ask to look at it for the same reason they provide it to begin with. The idea is to make you think that using the card is valuable to you, and that they are worried about you discovering that formula, that'll leave them without a penny.
I've never seen Roulette scorecards. Baccarat, yes, but not Roulette.
No floor person objected to the history displays when they were first installed. Or to the upgrades where it also shows trends. Similar displays are popping up at Baccarat. You'll never see them at BlackJack....