The GoodYear EMT's in GS-C or F1-GS have really stiff side walls. On a C4, even with the base suspension, you will feel the difference in the tires - they will be harsher. You will also notice a quicker steering response just off center as the stiffer side walls react quicker to steering input. They will not handle as good at max performance as non-runflats though.
I had the LTPWS on my 92 and decided to put GSC EMTs on it many years ago - I couldn't wait until those things wore out.
In many cases, depending on the persons ability to know and feel their car, it will be very difficult to tell if an EMT is going flat without the tire pressure system installed. Most tire dealers will not install EMTs on a car without the tire pressure sensors installed - liability issues, etc.
The EMT tire is compatible with any existing wheel in the correct size.
IMO, putting early EMT's (GSC or F1 GS EMT) on a C4 are not a good idea - especially not a good idea if the tire pressure warning system is not also installed.
Michelin and others make runflats that had softer side walls and they work really well. Some have 50 mile limits with no air. The early GY EMTs have 200 mile limits with no air. The new GY F1 GS2 and SC EMT (C6 tires) are a 100 mile tires. They are much better for ride, handling and noise. I don't know if they come in C4 sizes though.
BTW, all my cars have runflats - all are new generation tires in either Michelin or GY, all have tire pressure warning systems and they all work.