'UGY',
I don't think anyone was saying an antenna of a 1/4 wave length isn't possible, in whatever 'shape' it assumes. But, there are factors with the 'mobile beams' people use that mean that they can't be used 'fixed' without altering them into a more 'normal' type directional antenna.
You are correct in saying that the vehicle "makes up for the other half of the missing dipole", but there's more to it than ~just~ the vehicle. What's under the vehicle (the 'dirt') is also part of that 'missing half' of a dipole. The lower the band, the more the 'dirt' takes part in that balancing act.
The problem comes in with a 'fixed antenna because they are typically much higher off the ground than a mobile antenna. That height means that 'dirt' has much less play in that balancing act, some, but not nearly as much. (Unless you can manage to hoist that '48 Hudson car body to the top of your support pole/tower
[Please take pictures!] not to mention rotating it!).
It is possible to reduce the overall area a yagi type antenna will occupy. That reduction in area also means there will be some reduction in the realized signal gain, and ease of making the thingy work to start with. It amounts to a reduction in element length of a couple of feet, sort of. Won't turn a large antenna (HF) into a very small one (UHF), but certainly will be smaller than usual (which we later found out was the aim of the whole thing).
It sort of boils down to "what's the point" in the end. If it provides a definite benefit, sure, why not. If it doesn't, what's the point?
- 'Doc
(That reduced size yagi will be unusual enough that 'they' will know somethings going on, right?)