The La Leche League have been dangerous to babies for a long time.
When struggling with my low milk supply due to PCOS I was advised I must keep going, do not offer formula under any circumstances, low supply isn't really a thing it's just poor management of breast feeding, don't fall into the formula trap! I took domperidone for a month and still couldn't produce enough to feed my baby. When I had improved my supply to roughly half what my baby needed and could combi feed, her latch was so poor due to tongue tie she couldn't get the milk out of the breast and was helplessly sucking on a full breast but still not getting milk. Those sycophants were adamant that I should put baby to the breast every single time she cried and deny her the formula top ups she desperately needed. She would eventually learn to get the milk out whereas if I gave her a bottle she would never learn because we would be enabling her not trying hard enough. Who cares if she starves in the meantime! I ended up pumping and bottle feeding her breast milk. Cue all the preaching that baby can get more milk than a pump, I don't really have a low supply it's just exclusive pumping that makes me think that way. Thats only true if baby's latch is good! If baby can't transfer milk from the breast due to oral issues they will never get anything substantial, nor the same amount as the pump let alone more!
I am not alone. LLL tell women with low supply to starve their babies at the breast for weeks on end, some end up in hospital with failure to thrive because of this dangerous advice. Formula is not poison and combi feeding is valid, babies still get all the protection breast feeding offers them.
The down side of combi feeding is cost, formula is expensive! But when you have low milk supply you have no choice. But LLL have been directly responsible for making formula so expensive as they lobbied for the laws that mean formula brands can't advertise and supermarkets cant include formula in discount schemes because they claimed it would discourage women from breast feeding, when actually all it does is punish those who can't and make it a scary reality that some women can't afford to feed their baby so they resort to dangerous practices like milk sharing from untested donor's on social media and watering down formula to make it last longer.
To bring it back to the argument, LLL didn't just encourage the trans woman to starve the baby at the breast, they encourage many woman to starve their babies at the breast.
The breast feeding support network was fantastic in helping me through my breastfeeding difficulties and supported me to combi feed for 6 months until I just couldn't keep up any more and my supply dried up completely. They also allow whole families to attend not just women so my husband learned all about breastfeeding and how he could help me and support me best. He was the one at home with me helping our tongue tied baby latch when I was totally overwhelmed and the midwives had abandoned us. LLL banned partners from helping or being involved and made them wait outside.
TLDR LLL have been a danger to babies experiencing feeding problems for a long time. If it was left to LLL my breastfeeding journey would have been over at 2/3 weeks and my baby would have been malnourished. The breastfeeding support network is far superior and have the ability to refer into the infant teams in hospitals which is what we needed and their continued support and acceptance of my husband enabled my baby to have breast milk for 6 months because the breast feeding support network offer real support whereas LLL offer militant ideology. I would be quite happy to see LLL be shut down altogether. BFN is more than enough, and better.