It seems a good singer, violin player etc. gets the note wrong but starts correcting it immediately after by a circular causal process such as feedback using his hearing mechanism.
Similar to steering a ship to get it to the right course.
https://en.wikipedia.org/wiki/Cybernetics
from Wikipedia adding some text between parenthesis:
The field (Cybernetics) is named after an example of circular causal feedback—that of steering a ship the ancient Greek (Hellenic) κυβερνήτης (kybernḗtēs) (κυβερνήτης) refers to the person who steers a ship). In steering a ship, the position of the rudder is adjusted in continual response to the effect it is observed as having, forming a feedback loop through which a steady course can be maintained in a changing environment, responding to disturbances from cross winds and tide.[6][7]
Dimitris Mitropanos is a singer who starts the note at a lower pitch and increases it until it sounds right. He does it slowly in a funny way, as is the turntable playing the record gets to the right speed slowly.
It may be found that Maria Callas when for example singing Ave Maria does the same but getting to the right pitch quicker. But so may do so many other great singers such as Whitney Houston. Or great guitarists such as Dave Gilmour using the steel finger slide on the Great Gig in the Sky - Pink Floyd.
By listening (you could try listening too or doing frequency measurements) it seems to me that good singers build to correct intonation of a note while the note is sung.
Even good singers, it seems to me cannot get it right at the attack of the note which is almost always flat. The reason seems to be that the hearing mechanism hears flat, a lower pitch when a frequency (orchestra instruments one hears for example in the backing track) is at a normal or loud sound pressure level. Only at very low SPL do pitch and frequency seem to coincide. This is described in the Chapter called Influence of the Mind in the great book by Stevens and Warshofsky, Sound and Hearing.
Good singers seem to increase frequency after the attack until the end of the note so that it sounds correct.
It does not seem to matter that the attack is low in pitch. According to the Heisenberg Uncertainty Principle in music the less the duration of a tone the higher the uncertainty of the pitch! There is simply not enough time to measure frequency right. This is described in the great book Waves - Berkeley Physics course by Frank S. Crawford Jr.
Here is an example of what I hear as increase in pitch at middle and ending of notes so that it sounds correct to the brain of good singer and the brain of a listener. Paroles Dalida, Delon.
A good test for this could be for example to freeze a good singer's pitch by granular synthesis and measure by beat elimination comparison with a sinewave signal generator.
Summary: When I try to sing I do not care about nailing the note right at the beginning of its life but I care about nailing it after its birth. For every note. Like humans do. None is born perfect, but we do try to improve ourselves.
At your risk. This is not a medical advice. It is my humble interpretation of what my dentist told me, described in my own words.
I was told by my dentist, that after eating a honey sesame bar, that I should wait a little for my mouth to clean up by fresh water, before brushing teeth. A similar process is used after drinking water with lemon.
Sugar is converted to acid so it is not wise to brush teeth while sugar remains are on the teeth as the process becomes like brushing with an acid which would deteriorate the outer surface of the teeth.
So what I do is waiting a little bit until I feel that teeth feel clean with my tongue and then I brush. I use sea water but this is something I decided myself , not discussing it with my dentist, see previous posts.
Something else I discussed today with my dentist is how clean teeth feel after eating an apple.