Try Other Cafes
In your story, it appears you got thrown out of 1 place, then never tried again. There are other cafes.
Of course I tried again. Fuck them!
But as I lost venues and legitimately gained paranoia, things are harder still.
3 Contacts An Hour
9 approaches to get 3 contacts. The focus is the contacts, where 9 approaches is effort. You can get blown out in an approach in as little as 30 seconds to 1 minute.
In a train/train station or crowded cafe, can take as little as 5 minutes to jump between women or relocate yourself (go upstairs, other side of store/other part of train, change to other nearby cafe/train seat, new person sits next to you).... 9 (approaches) X 5 (time between) = 45 minutes.
Takes 10 minutes of a conversation to pull contact info (and I often easily do in less). 3 X 10 = 30 minutes. Plus time to jump to new prospect 3 X 5 = 15. 30 + 15 = 45 minutes. With additional time to fail a bit.
And if you don't make your quota and only got 2 contacts in a hour? Well, so...[emoji41] That's still 2 more than you started with. For me, just means I might need to spend an extra hour or less to hit my quota of 9. But if a guy got 3 contacts and called it a day, so... don't see the problem.
As far as cafes are concerned, these numbers are balderdash or perhaps apply only to a handful of places at a handful of times. If you are moving 10 times every 5 minutes in a place like that you are going to be flagged, you'll run out of girls worth approaching, have to time your seat changes to perfection, get caught in situations where someone you just got contacts off hasn't left, etc. etc.
I can concede it would actually work better than this on a train after doing some scouting, assuming you weren't going anywhere and can keep switching trains and carriages.
1/3rd Rule Revisited
Interestingly, people continually misunderstand the 1/3rd rule of thumb as if it's a hard barrier of efficiency that can't be crossed nor do they understand the accumulative effect of doing it each week. Think of it like compound interest ( https://en.m.wikipedia.org/wiki/Compound_interest).
Wait, what happened here? In 3 months, we could have 3 or 4 or more GIRLFRIENDS or SEX-FRIENDS
That's now more sex and women than the average guy can handle. Even for my hyper-sexual self, more than 3 girlfriends/sex-friends starts to get hard to handle.
There is no 1/3rd rule. It is going to depend on the guy, and who, where and how he is approaching. You are citing a 3.5% success rate in starting a sexual relationship with a stranger, by the way. Much better than my 0% in even converting a contact into a date, congratulations!
I see what you are saying with the "compounding" but for someone starting from scratch at even less than 3.5% and with absolutely no guarantee of a lucky break I don't think it is going to pan out like that. More likely you spend months making hundreds of approaches and never get anywhere but severely depressed and even less capable of making headway.