The Supercar 0W40 seems to be a very GM DexosR specific oil. I notice that the 0W40 is not API SP qualified; but, I really do not know what the significance of that is.
Does the Corvette engine use port and direct injection or just direct injection? If it is pure direct injection, automakers have been specifying oils to deal with the problems with valve deposits and other peripheral issues associated with direct injection. I have an Audi A4 which is pure direct injection and Audi has some very specific oil requirements in its 508.00 standard for the DPAA engine beyond oil weight. 508.00 compliant oils are low SAPS which may not be a positive feature for older port injection engines if they are not designed around that requirement. Aside form the oil weight issues in the 508.00 standard I would not use a 508.00 oil in an older engine design. Newer may not always be better.
So, you might want to have a look at the GM DexosR requirements. Beyond the marketing hype, those requirements may or may not be beneficial for a naturally aspirated port injected engine with what are now rather antiquated emission controls. Mobil's application guide on their web site recommends either 5W30 Extended Performance, Advanced Full Synthetic or Full Synthetic. Not sure about the differences between the latter two because I have never seen the Full Synthetic offered for sale around here. Interesting to note that the original manufacturer spec10W30 is not on Mobil's recommended list.