Kind of an old thread, but I just stumbled across it and, without getting into the details, do a lot of probability- and -stats based stuff for a living, and I think this is the angle that you need to think about.
Observing that 1 in 3,650 songs that make it to Spotify charts on the Billboard Hot 100 and that implies a 0.03% (rounded up) hit rate basically assumes that every sing has an equal chance of charting and we're talking about a normal distribution of songs. I don't think that's a defensible assumption; if it were, the best way to produce a top 100 hit would be to churn out as much music as you can, and while releasing 4,000 songs wouldn't guarantee a hit, the probability of having one by then would be pretty high. Pretty clearly, that's NOT how the music industry works.
As you ppoint out, some producers probably. chart close to 100% of the time, and some artists are popular enough that almost anything they release is probably going to at least briefly show up in the charts. Start backing those out, and how many of that 1,000 Top 100 hits a year are first time artists and/or first time producers? Ten? Twenty? I think that's the better starting point, and you're probably looking at more like 50-100k to 1 odds. Ballparking it. I think that's a far cry from the numbers you have in mind, in the 1-in-365 range by focusing on genres likely to chart.
I'm trying to think about truly self-produced music that's charted, over the years. Billy Eilish is the most recent example, but then there's Bon Iver, I think I remember reading the first Band of Horses album where "Funeral" became a pretty big hit was one they recorded themselves in a rented house... If you want to expand it a bit to artists without a ton of label support maybe the comps get a little easier, but only a little.
I think if this is really a goal of yours, then I think you're probably at least heading in the right direction by thinking about artist selection, but I'd take it a step further. Don't think so much about whether they're the "full package." Instead think about whether or not they have a song that makes you believe. My subjective sense is a lot of breakthrough artists succeed because they've written the sort of song that it could be the last thing you hear on earth as you're dying and you'd be alright with that. If you want a hit, then it's not going to be because of your production, it's not going to be because of the look of the artist, it's going to be because they wrote a song you can't get out of your head, and are willing to go on the road to share that music with people.
My goals are easier - I write instrumental guitar rock, so I'm just padding the denominator for you. But, a 1-in-365 chance of producing a top 100 hit doesn't really pass the sniff test, if you will.