What method is used to achieve an image is secondary to whether the content is good, average or bad.
Modern cameras pointed vaguely in the right direction set on "auto" usually achieve a good exposure and good focus.
Achieving good content is much more challenging
If you aim for a specific zone of sharpness or background blur a specific aperture and focal length usually come to the front of the queue.
It matters less whether you use aperture priority or manual - especially if the sharpness/blur ratio is not 10 out of 10.
Similarly to record specific action clearly a minimum shutter speed usually comes to the front of the queue.
It matters little whether you use shutter priority or manual - especially if the timing is not 10 out of 10 and the peak moment is missed.
With modern high ISO performance and de-noise software a "new fangled method" is to set aperture and shutter speed manually and to use auto ISO to achieve a good exposure - and it often works well - if your subject matter is worth 10 out of 10.
Anything good, bad or average about an image usually has much more to do with the skill and dedication of the photographer than debating what exposure method to be used.
REMEMBER - it can take 11 photographers to take a single photo
That is one photographer to press the shutter and another 10 to tell him/her what they think should have been done differently - rather than looking at the final image and deciding in their opinion if it is good, average or bad.