I'm generally pro lockdown, but your argument there is the literal think of the children argument. It's bad enough to make me want to flip on that position.
In an environment where people (mainly the right) are brushing off vaccines and masking, social distancing, and lockdown mandates because of the notion that COVID is an old folks' disease that mainly affects people with marginal health to begin with, the idea that healthy children are being negatively affected for life is a valid counterargument.