Parents don't "force" court orders; hospitals seek court orders.
Of course parents force court orders; they force the hospital to seek them. The hospital does not need a court order for the 99.5% of children whose parents consent to lifesaving treatment by signing an authorization form. For the 0.5% or whatever small minority of parents will not consent, the hospital is "forced" to obtain a court order to provide the treatment. One cannot approach this pedantically, looking only through the narrow lens of sheer legal force. The world does not go around because everyone needs a court order to tell them what to do. Most of the time people acquiesce when they know they have no legal ground on which to stand on without "forcing" someone to run to the court to get an injunction or restraining order. If you owned a house and rented it out, and the tenant refused to move out when his lease was over, wouldn't it be fair to say that he "forced you" to get a court order to evict him?
The LoU/Acknowledgement Statements are legally useless documents; therefore, there is no harm to the WTBTS if JWs sign these.
Respectfully, I do not think this is the issue. The WTBTS cannot be legally "harmed" no matter the outcome. A corporation is not the one being transfused. This is a matter between the patient, the parents and the hospital. It has nothing to do with WTBTS legal rights, since they have none in these cases anyone. Watchtower doctrine has often been a matter of symbolism, and not legalism. They caused publishers in Malawi to die because of not carrying a political party card. This was a symbolic issue. I would be quite certain that in the 1980's, the HLC would have told publishers not to sign anything acknowledging blood might be given. It contains symbolism that could be equated with agreement, even if not legal consent. Just as the Malawi cards meant almost nothing practically (it was a one-party country) but might "give the idea that we compromise Christian principles", the LOU would have been viewed the same saw by a hard-line WTS regime.