Indefinite outcome and cost would be the 2 biggest factors I'd weigh. While there is minor wounding with injection, I compare that to thinking of it like mi or surgery...yes, a Doctor would rather you not be cut open, but the alternative of not doing that is worse than the cut (at least it should be!). Cost is always a factor...but what would the cost of removal be? That is where indefinite outcome weighs in.
You are correct about wound treatment. If it has been more than several days, just leave it. However if there is a jagged stub left it may be a good idea to prune that. I'd wait until fall, but if it is done now, treat that new wound.
Finally: while you CAN treat infected trees, success rate will be higher with preventative treatment. How recently were those other trees nearby killed? Have you seen any oak wilt around you this year?