And for more anecdotal experience…
Friends of ours conceived via IVF/ICSI due to ‘severe’ male and female issues and they were told they could never conceive naturally.
So, they wanted a second, went through IVF again but she wasn’t reacting as expected to the initial drugs (where they encourage the egg production/release prior to collection).
You can guess what had happened can’t you? Yep – with twins. Naturally.
And similar with someone else – they had tried and tried naturally and with (IIRC) about 5 rounds of IVF (on the NHS, using eggs collected at first round). They were told that unless they could afford to pay, this was the end of the road. They had already started to go through the process of adopting, went away for a weekend to clear their minds and focus on this new future, drank too much wine and you can guess the rest.
HOWEVER…
Don’t live in the hope it will happen naturally – it *might* not so get yourself in the system as soon as you can.
BTW – we had twins at our first attempt at IVF/ICSI, tried naturally (half-heartedly) for a couple of years after (like many others have done, but unsuccessfully) but now are happy and settled with our two healthy 4.5 yr olds.