I think there would probably be more of a market for and less early exercise of very deep in the money options if the margin rule for a simple long option position were changed from...
100% of the value of the option (at least that is my understanding of how it is in the United States)
...to...
minimum(100% of value of the option, margin requirement of the underlying)
The fact that a deep in the money option can have margin requirements exceeding the underlying creates an artificial incentive for early exercise or not to buy the option at all, and I don't see what the extra margin requirement protects anyone from in this case.
Corrections and counterarguments are welcome.