I am not much of a fan at the moment either. In particular, because I don't currently have a valid driving licence, I don't like the loss of a compact, government-issued ID (BRP).
Still, I was contacted via email to apply for the eVisa, as I have a BRP with ILR, about 5 weeks ago. The process was a little finicky, but workable. It appears to have gone through ok.
What's unclear at the moment is what to do about the rest of my family, who each also have ILR as dependants on my application. As far as I'm aware, my email address is the only one associated with that application. One might have expected to be able to process the rest of the group at about the same time. However, I have not been able to do so when I have tried to follow the same instructions for them (ending at a point, after having successfully created an account for them, where the system notes that no application is pending for the individual). I suppose I will wait for further emails to process the others individually, but more clarity about what to expect would be appreciated.