Hello and welcome.
The simple answer to your questions is there is no difference between a starter you would purchase and a starter you cultivate using your own flour. Here’s why.
The term “wild yeast“ is completely misleading. It implies capturing airborne yeast. But that is not the case. Yeast and bacteria is on the wheat. The wheat is milled into flour. The yeast and bacteria is already in the sack of flour.
Sourdough starter is a result of the yeasts and bacteria, lactobacilli. The yeasts and lactobacilli live in a symbiotic relationship. It’s not the yeast, but the addition of lactobacilli that makes the difference. Without lactobacilli there is no sourdough. Yeast alone does not make sourdough.
When water is added to the flour the lactobacilli converts the starch into sugars for food. In consuming the sugars the lactobacilli expels lactic and acetic acids. The level of acetic acid gives sourdough the tang.
The acidic environment causes the demise of other microbes. But the strains of yeast that are in flour thrive in the acidic environment.
Lactobacilli main food source is maltose. Most strains of yeast consume maltose. But the bread friendly yeast in flour is unique in that it does not. So the yeast and lactobacilli do not compete for the same food source. This allows the lactobacilli and yeast to exist in harmony.
There’s no difference between the yeast starter you would purchase and the starter you are cultivating using your own flour. In fact, purchased starters are a scam.
With each feeding you remove half of the starter. You replace the amount discarded with fresh flour and water. You introduce the bacteria, yeast, and other microbes that are in your flour into the starter, while removing the microbes from the original starter.
Within a few feedings you have completely replaced the original starter with your brand of flour and local water.
Since the yeast and bacteria is already in the flour, its the brand of flour used that determines flavor.
Factors such as frequency of feedings, humidity, and temperature influence the level of bacteria. That in turn changes the flavor.
For instance if you want a bread with a pronounced tangy flavor, you need more acetic acid. So you reduce the amount of water with each feeding, reduce the feedings to allow some hooch, which is acetic acid, to develop, then mix some of the hooch back into the starter.
For a less tangy bread such as a panettone, you increase the feedings to four hour intervals over several days. The increased turnover of fresh flour and water lowers the acetic acid level by remove a lot of the lactobacilli population and existing acid in the starter.
Link to a good blog on bread
https://www.theperfectloaf.com/beginners-sourdough-bread/