You don’t have to do that with non-Apple headphones either.
The bigger problem with Bluetooth headphones is that the batteries are non-replaceable, so consumers are incentivized to throw them out every few years (just like smartphones).
Some non-Apple headphones can pair to more than one device, but there's usually a hard limit, and it's fairly small. And you have to set each up separately.
Apple headphones will roam between all Apple devices that you own, and it pretty much "just works".
Of course, as soon as you step out of their ecosystem, not only you have to pair manually again, but it can only be paired to a single non-Apple device at a time.
The bigger problem with Bluetooth headphones is that the batteries are non-replaceable, so consumers are incentivized to throw them out every few years (just like smartphones).