From a performance point of view I think all these antennas are pretty much a wash for what you want to do, so then it comes down to practical installation. So decide if you're going to ground mount or roof mount. That will thin the herd here a bit.
Elevated mounting of HF verticals is difficult except for the likes of the "ground independent" ones. So for the butternut you would need resonant radials for each band which results in a messy roof and a tuning chore. So it would seem if you're bent on roof mounting the Cushcraft and Hy gain would be your option, ground mounting would be the zero five or the butternut.
The zero five style antenna requires a tuner. Not sure if you anticipated or budgeted for that. I think it's a PITA to retune every QSY and that would be a non-starter for me but that's a personal preference thing. The butternut does not require a tuner and my personally biased opinion is the butternut is a more practical ground mounted antenna than the zero five is.
I think having an antenna like these can be a very useful thing even as you advance through the hobby. I wouldn't think of this as a "starter" or "compromise" antenna but rather a general purpose one you can keep around and use in concert with more specialized ones you may add as you move forward. It's convenient to have a known performance, omni antenna you can take a quick spin through the bands with, and use for general purpose operating. I've had my butternut for about 25 years now and use it for one band or another every time I'm in the shack, even with a selection of other wire and beam antennas in the yard.