"I can't see how you got rid of the bite by a home cure"
If you do this relatively soon after the bite, you may be able to remove enough of the toxins so that the bite is not as bad. When you draw out fluids from the center of the injection, fluids from adjacent areas move into the spot where you drew fluids from. Pulling fluids several times as I mentioned, helps to move the toxins back closer to the injection site where you may be able to remove some of them. It doesn't get rid of the bite toxins entirely. The toxins shut down circulation around the bite and they necrotize the flesh. The toxins do not spread fast (like in some snake bites) so they tend to stay very near the point of injection, making it possible to remove some of the toxins, some of the time.
One time, I had three separate bites on my hand. It looked to me like the spider must have walked across my hand because the bites were line up in a row. I used the syringe on all three bites. Only one of them got really ugly but the bite area remained small. The other two bites just made a small raised area that was red with a blackish "crater" in the center. Invariably, even if it appears that I have been able to remove some toxin (or it could be that not much was initially injected) these bites seem to take a long time to heal completely.
One thing that I found about spiders that was rather interesting: Some entomolgists believe that ALL spiders are "poisonous" it is just that they may not have a delivery system for the poison that is capable of injecting any (or enough) toxin to elicit a reaction in a human. But, there certainly must be some form of their natural prey that are susceptible.
My son obviously waited to long the first time before getting treatment because it was on his rear end and he thought it might be a boil or somehting like that, what is the scariest is how it came back after 6 months, must have been like when your hand healed, then got infected underneath. It was a full 6 months before it flared up the second time and the second time was almost as bad as the original bite, he just got treatment sooner. Whatever type of spider it was, it sure put the hurt on him. I try to vacuum the corners where cob webs show up in my barn, I guess after I vacuum, I should make sure to kill them in the vacuum bag.