All polymers flex. The question is at what force.
Is your 3/8* thick material actually "CFRP" (carbon fiber reinforced polymer), or is it actually "FRP" (standard pultruded fiber reinforced plastic)? Big difference in shear moduli (i.e., rigidity).
For reference, the CFRP measures ~ 3750 GPa , while the FRP is magnitudes lower (~ 1.3 - 5.0 GPa). Still damn stiff, but the difference between the two materials is substantial.
For a bit of background in interested, perhaps you know all of this, typically for front splitters that are manufactured from carbon fibre are not solid. What may look like a thick carbon fiber splitter is typically comprised of a couple layers on either side of core material, core material being a like Nomex honeycomb aluminum, paper or foam, like Rohacell. There is a structural / stiffness advantage of having the box section with a bit of core with less carbon fibre material. The actual thickness of carbon fibre applied would be around 5 mm or so, that's 2.5 mm on either side +/- 1 mm. Stiffness of a composite part is typically defined by the number of layers and type of weave. Then there's the finish, some perhaps like the clearcoated exposed carbon fibre, like a 2x2 or 4x4 weave, different GSMs, and ideally a unidirectional weave is best for a smooth painted finish, but must be oriented in the best direction to accommodate stress. Race cars, like the stuff I helped to design such as the Daytona Prototypes, weight is a significant factor. Usually also design a pocket on the underside of the splitter for replaceable sacrificial nylon blocks, that take the hit or scrub the track, etc., rather than damaging the splitter itself. There's also some aftermarket companies that wet lay carbon fibre, there's more resin / epoxy mass, yet you don't get the stiffness compared to an autoclaved part (compressed in a vacuum bag in addition to pressure) because of the better resulting material consolidation with pre-preg. Dive planes only get you another 10 or 15 lbs of downforce depending on the design, sure this is significant for race cars competing, but for a street car... they can look cool.
I think Dave's splitter is beyond being adequate for stiffness, sure a few pounds heavier, but is that really a concern on a street car? Ideally it's a suitable material if it gets banged up on the street, as I wouldn't want to be replacing a carbon fibre splitter, the cost can be very high for an autoclaved part, which would be around $1000 at minimum to manufacture (and this all depends on the additional piece costs with a volume to make up for the upfront tooling costs including the pattern, carbon fibre mold, etc., which would be around $25k for a carbon fiber splitter that meets race car / FIA / OEM specs). Sure there's cheaper wet laid parts on the market, but again, they're not as good.
I think when all is considered, weighing all of the advantages, disadvantage, functionality and feasibility, it's very hard to beat what Dave fabricated for his street car. It looks good too. I can't knock it that's for sure. Heck that last car I helped design comprised of a full carbon fibre chassis sells for $2M ea., but there's something of value to be noted and respected when somebody takes the time to fabricate it themselves rather than buying a mail order part. There's some of us in the industry that I work who fabricate stuff in our garages, and it's one of the qualities of a designer or engineer that is greatly valued. My last boss was a VP of engineering at Shelby, he always encouraged the engineers to go work in the shop, it's an asset regardless of the costs or types of material being used, and what is valued more is coming up with a design that is the best feasible solution with a given budget.
I don't know what Dave's budget was, but I bet if you stack up his receipts, heck I surely wouldn't challenge him on fabricating a better solution. Shame on anyone who says it's "homemade", some need to be a bit more impeccable with their words.
Cheers,
Mike