You also need ot appreciate that birth control is in no way exclusive to humans.
Kangaroos and other macropods practice birth control in the sense that embryos are stalled early in development and only allowed to complete gestation when the mother is in prime health, which may be years later or it may be never. Marmots will attack any subdominant female that falls pregant so violently and persistently that she is forced to abort her litter. Wolves will attack subdominants of boths sexes that show an sign of sexual initaition. That prevents the females from coming into season and supresses hormonal urges in males. The list of animals that practice soime form of birth control is impressively long.
So we then need to ask ourselves how birth control could become so common is the OP is correct? And of course it couldn’t. The point that is being overlooked is pretty much what MaryEFoo said: evolutionary success isn’t about the number of offspring produced, it’s about the number that survive to reproduce themselves.
What we need to add to that producing and caring for children is not risk free. Mothers still die in childbirth, fathers still die of heart attacks due to the stress of providing for children. In the likely event that society doesn’t remain stable and another serious depression or war strikes the risks of parents starving increases greatly with the number of children, and worse yet from an evolutionary perspective the larger the number of children the greater the risk that all will succumb.
What all this means is that producing more kids isn’t a guaranteed path to evolutionary success in any way, in fact it’s probably exactly the opposite. A well educated healthy parent with 2 kids is far more likely to be able to raise that child to maturity than an uneducated parent with malnourished children and limited access to healthcare. Moreover a parent that leaves off having children until they have a secure career, own a house and have sufficient funds saved up to send the kid to college will have massive survival advantages over someone who drops out of high school to have their first child at age 15.
You could possibly make an argument thatif things remain exactly as they are now for the next 20, 000 years then birth control will be self-defeating, but that’s not a plausible scenario. In reality things will change, there will be wars, there will be pandemics, there will be unforeseeable social and environmental changes.
With that in mind ask yourself who has a better chance of surviving those conditions? Consider two reproductive units: a single teen mother with 3 children under 5, or a 30 yo soccer Mom with 1 child. Who will have a better chance of surviving a pandemic due to access to heath care? Who has a better chance of fleeing a hurricane because they have access to a vehicle, alternative accommodation etc? Who would be more likely to escape an invading army? Who will be in a better position if there is no more social security at all?
And so on and so forth for all possible change scenarios, great and small. No matter what happens those people with the most education and most money will have the best chance of surviving, and all things being equal those with the fewest children will have the best access to education and resources. If we take it for granted that the next 10, 000 years will not be climatically, culturally and politically perfectly stable then it is far more likely that birth control will be beneficial than harmful from an evolutionary POV. You are far better off producing one healthy and well educated child than 10 sickly and uneducated children, and the best way to ensure education and health is to limit the number of children to the number that you can care for fully.