One detail in particular makes a huge difference: oral immunotherapy seems to be significantly more effective in babies (starting before age 2) with significantly better outcomes. Adults and young children have a much higher incidence of side effects (most common one is a constantly upset stomach) that makes avoidance potentially still better for overall quality of life, but our allergist told us that among their <2 year old cohorts they’ve seen zero out of [upper two digits] experience any of those side effects at all. We started our son when he was 1 year old.
In our case the kid started eating peanuts basically as soon as they started eating solid foods, so the allergy happened despite early exposure. Actually we caught the allergy early enough to start OIT early because of early exposure.