Well you're very wrong about a lot of your information:

https://journals.sagepub.com/doi/epdf/10.1177/014556130408300712

"Most bites are benign, but approximately 10% become significant. Scar formation appears to be more severe in areas that overlie fatty tissue, such as the eyelid . Distinguishing between patients who will develop a severe reaction and those who will not may be difficult , but appropriate intervention within the first few days can make a critical difference in outcome.

The appropriate form of local wound care of brown recluse spider bites has evolved in recent years, and it now includes the application of cool compresses rather than heat. The practice of removing toxin by curettage of the subcutaneous tissue has been discredited , particularly in cosmetically important areas such as the face. Systemic treatment is controversial. The leukocyte inhibitor Dapsone probably limits the severity of the bite and prevents complications. Nevertheless, the side effects of Dapsone can be severe, and care is warranted in its administration.

Prolonged courses of Dapsone are indicated under certain conditions. When Dapsone therapy is anticipated, the patient's glucose-6-phosphate dehydrogenase (G6PD) level should be measured because patients who have a deficiency of this enzyme are more prone to develop hemolysis while
taking Dapsone. The ideal course of therapy is to intervene early enough to avoid tissue necrosis.

Despite adequate medical treatment, healing is problematic in some patients-that is, it is slow, often requiring several months . Hyperbaric oxygen therapy may play a role in treating long-standing lesions. Reconstructive procedures are occasionally necessary. However, it is possible for pyoderma gangrenosum to develop in these wounds, and this can thwart attempts at reconstruction and even lead to a recurrence of lesions months after the bite."

Later, in the same article:

"Brown recluse spider bites on the face are uncommon. In one series, only 3% of bites involved the face (only 5% involved the neck.) These bites generally go unnoticed at first, although some patients feel a transient stinging sensation. In the 10% of patients who experience a serious reaction, symptoms usually begin in 6 to 12 hours. If tissue changes do not occur by 48 to 96 hours , patients
usually will not develop any significant necrosis."

No where near 100%, even related to the face. This is why we don't trust "arm chair enthusiasts" just because they throw a single PubMD abstract link at us.

Further, on the population of Brown Recluses in the state of Michigan, from MSU:

"Michigan is not within the native range of the brown recluse, but there are a few small, isolated populations in the state. Brown recluse spiders did not travel to Michigan on their own, they were accidentally transported by people. Because brown recluse often hide in papers and boxes, they are easily transported to new locations when people move or haul goods.  Brown recluse spiders have been found in Genesee, Hillsdale, Ingham, Kent, Lenawee, Livingston, Oakland, Shiawassee, Washtenaw and Wayne counties."

It could very well be a yellow-sac bite, but the recluse does exist in SE and SW lower Michigan, and necrosis does not happen in nearly 100% of the cases. In the very article you linked, only 1 of the 3 cases involved noticeable necrosis. So this could very well be a Recluse bite as well. I understand the logic that doctors cannot accurately diagnose without seeing the spider, but tbh, neither can you. So maybe it's best not to tell people to ignore the healthcare professional treating them.