I should preface this by noting that I am not, nor do I wish to portray, an expert on any kind of disc golf shot.
Now to my answer...
To a certain degree, they would apply to all shots.
However, they're more critical when you're trying to take a disc from a hyzer release angle and have the disc flip during flight at the appropriate time / distance.
An anhyzer release is going to have very similar mechanics to your standard "straight shot" release and follow through and will simply require the disc to hold a line, rather than shaping a particular line with a flip of the disc mid-flight.
So while a turnover shot may be thrown very similar to your straight shot, you are depending on the discs understability (and / or OAT) to allow it to turn mid-flight, while an anhyzer released shot is thrown similar to your straight shot, but relies on the discs stability to maintain a certain flight path.
I guess it's just whatever people prefer, but I tend to be a little more concerned that my disc may go horribly off-target on a turnover shot than if I put it on a specific curve / line to begin with.
As for my preference for long and low turns to the right, RHFH would be my choice (if I didn't just throw straight and then approach at the turn).
Long and high ceiling I'd RHBH anny it.
Good summary....as far as preference, it really does depend on the line you need to hold. Example:
DX Eagle, newish, anny: will turn from the release but fade back out when thrown at normal height. I can control the turn with angle of release. Line must allow for a semi-circle flight
DX Eagle, beat, normal: will turn, but later in the flight and will not fade back, will need a bit more height to not turn into a roller. I can delay the turn by throwing on a hyzer. It will be relatively straight as it flips up, then turn right.
I have more control with the anny, but the line doesn't always allow for it.
See pic below, Warwick Town Park, Hole 2, Long Tee. Straight, slight downhill, big right turn to get out of the woods. Basket is another 50 ft or so past the wood's end,in the open, about 200ft from the turn.
A Roc RHBH on an anny works well, but I have to aim to the left, avoid the trees, bring it back right, and avoid the trees on the inside of the corner and often it will fade back at the end and not quote get out. I'm trying to fit a semi-circle flight path in a J shaped fairway.
Threw my beat DX Eagle RHBH there on Sat, normal release with a bit of height. It flew straight down the early chute here, started its turn and carried all the way out the bottom. Now, too low, it would have flipped over and turned into a cut roller, but the slight downhill and some available ceiling allowed me to throw normally and the disc turned sharply and high enough to allow it to straighten back out a bit yet not fade strongly.