Under your own definition, everyone can have: - housing - education - health care

Unless you’re saying that somehow it’s impossible for a society like the UK or US to ensure everyone has access to the above?

Even for your “negative rights”, we today already have conflicts. For instance, a right to trial by a jury of your peers: this clearly conflicts with the jury’s right to work. They can’t work while they’re hearing your trial. As soon as you allow “we’ll just dismiss those for whom jury duty is an undue burden”, you’re acknowledging society is big enough to handle these conflicts without creating an undue burden on anyone.