No, there's no required 2nd deposit in the United States, or in Canada to my knowledge. Some dealers have asked for that, but Lotus doesn't require it. I have a single deposit order with my own dealer, for example.
In the US franchise dealer model the dealer is technically the one placing the order with Lotus, they have an allocation of cars that they have been approved to order and they are free to do whatever they want with them. Ideally it's supposed to work by the dealer taking an order from a customer who finalizes a spec and secures it with a good faith deposit, then the dealer passes the order (along with customer details) through to Lotus on the customer's behalf. It should be recognized though that the dealer is technically the party buying the car from Lotus, and then reselling it to the customer as a new unit under their new car franchise licensure with the state. Lotus requires a customer's name on each order in order to prevent customers from being taken advantage of, but it's a difficult thing for them to enforce.
In a case like this where the dealer is refusing to give the customer their own submission ID, the dealer is essentially holding their ownership stake in reserve for themselves, as though they had placed an order with that spec entirely on their own initiative. Technically they've put a customer's name on the order with Lotus, but in the absence of the owner having any written documentation of the submitted order details tying them to that exact unit, the dealer doesn't have any obligation to honor that intended outcome once the car arrives from the manufacturer. They could have side deals going all along during the wait, with people possibly willing to pay a big ADM markup. Then the dealer would just tell the original guy "sorry" and return his deposit, and would expose themselves to almost zero legal risk unless a judge granted discovery in the context of a suit.
Yes, what I'm describing is unethical. But it's a car dealer. Unethical dealing is a normalized set of behaviors in easily 50% of the franchise dealerships out there. Hell, some of the people doing this stuff are just following other people's direction and don't even realize that what they are doing is wrong.
TL;DR Cliffs notes: Many auto dealers are unethical. Watch your back and demand everything in writing as you go, particularly if the dealer you're working with focuses on exotics. Their clientele often does shady stuff, and likely so do they. That which isn't written down, didn't happen.