Except for michael007's recommendation for the NEST system, no one one has really addressed the OP's request for "wireless aka battery interconnected detectors". This will include me, because I prefer the dual ionization/photoelectric detectors. I also have separate CO detectors** and in the basement I also have a natural gas detector. All battery operated, not smart, and not interconnected.
My straw boss, armchair quarterback advice to the OP is to do your own internet search of "wireless battery interconnected smoke detectors" and whittle down which you think is best for your situation. I started a search - I think you might have to make some compromises to get the interconnected battery models, but they are out there.
First Alert brand tends to have better reviews for MY specifications. I imagine these detectors have to meet some standards, so you might find your "sweet spot" with an unrecognized brand, probably o.k. as long as it is not a super cheapo Chinese knockoff.
Good luck on your search. I love this type or research and might add more.
** I follow this CO detector placement guideline, but location is HUGELY debated: "Some instruction manuals and online guides recommend installing your detector on the ceiling. This isn’t widely accepted – although Carbon Monoxide has a lower density (and therefore is lighter) than normal air when CO is built up, this tends to be due to a heat-source incorrectly burning fuel. This means that regular air is heated, forming a pocket under the ceiling and potentially preventing the carbon monoxide from getting to a detector placed on the ceiling. Due to this, we recommend always installing your carbon monoxide on a wall instead, ideally about a few feet under the top of your ceiling. If the carbon monoxide detector you’ve purchased happens to have a digital display, try placing it at just above eye-level."