In the vast majority of cases these aren't just 'claims', the witnesses really
did see what they described. If only people would
listen to them - instead of inserting their own biases - there wouldn't be so much controversy.
The characteristics of "huge accelerations, incredible maneuvering, noiseless, and capable of going from supersonic to hovering almost instantly etc.", are strong evidence that should not be hand-waved away. We just have to set aside our preconceptions and look at it with an open mind.
The first preconception we should drop is that the huge accelerations etc. are impossible because no known aircraft (or spaceship) technology is even theoretically capable of such maneuverability. These things aren't helicopters or
Skunk Works projects, or
any craft of human origin. We should stop calling them UFOs too, because 'flying object' implies they are some kind of conventional aircraft that has to follow the rules of aeronautics.
Forget all that stuff that is limiting your imagination, and the truth will become obvious. The reason these things can move with such incredible agility is that they are made of pure electromagnetic energy, tuned to frequencies that are sometimes visible to the human eye. With this technique they can travel the vast distances of space from far away galaxies in virtually no (local) time at all. Because they are in fact, nothing more than beams of light.
Only a light beam explains
all the observed characteristics. It could come from as far away as Mars or as close as that lamp behind you reflected in the window, from car headlights,
squid boats, or the Sun shining off ice crystals in a cloud. It may morph into a cigar shape or pulsate as if it was spinning, but if you see little green men peering out the windows that's just your preconceptions again. Keep an
open mind and you will see these 'UFO's for what they really are.
We must never belittle those who report UFO sightings just because their observations don't match our preconceptions. Calling them deluded or dishonest is counterproductive. They
know what they saw, and if you won't believe them there are plenty of others willing to listen - and twist it to suit their agendas. Most people who see UFOs aren't invested in them being alien spaceships, they just want an explanation for what they saw. To do that we need to
listen to what they say, not dismiss it as mere 'claims'.