Attorney General Ken Paxton has sent a civil investigative demand to Seattle Children's Hospital, demanding data on all Texas patients traveling for care, despite having no jurisdiction there.
They could, but it's a pretty progressive city, so there's nothing to lose and everything to gain for anyone public-facing in Seattle to be seen telling Paxton to fuck off.
Also, on a much less cynical note, making a bigot with grotesque demands look thoroughly foolish this time could create a precedent that could save lives in less clear-cut cases.
Tl;Dr: Telling Paxton off as loudly as possible (figuratively speaking) is both the opportune thing to do AND the right thing to do.
There's no way it would get that far, even in Texas.
Apart from the obvious fact of Texas law having no legal bearing on what people do outside of Texas, you can't rule in favor of Paxton without opening up Texas to a shitload of trouble from states who would like to for example close a couple gun law loopholes..