It might not throw a CEL initially, but it could throw one once the last sensor gets all gunked up with stuff, or when the 2nd set of cats overheats or gets clogged up from the first set not being there to do any conversion.
2-cat systems are designed to work so the upstream cats, which heat up quick because of their location, do one part of the conversion process, with the downstream cats taking care of the rest once that part of the exhaust gets up to operating temp. Removing either set of cats results in messing up the entire system.
The only proper way to go about it would be removing all 4 factory cats, and replacing them with either a pair or a single 3-way converter. Changing up the factory setup so the Y-pipes go into a single pipe, then into a single cat, and a single-in muffler might be easiest, and save the headaches associated with the multiple-cat setup, though it does work ok with dual cats and a dual-in muffler.
You'd also run into legal issues removing part or all of the system without a fully functional replacement for a street driven, registered vehicle. To the tune of a $5,000 fine and/or 5 years in jail.