Yes, Arrow is up their with Digikey and Mouser. Curiously they didn't show up as an authorized distributor when I did an ECIA search so I overlooked them. ECIA = Electronic Components Industry Association is a not-for-profit org representing electronics component manufacturers and their distribution partners. They
have a web page which allows you to search for authorized components distributors, e.g. you'll see Digikey and Newark listed if you search for CR2032. It's a good place to start your search if you need to ensure that you obtain genuine electronics components (though a bit overkill for small quantities of cheap consumer batteries)
As for Ikea, I have no idea who their source is for coin cells. $0.375/cell for qty 8 is higher than the Digikey price $.026 for qty 10, but ends up better if you don't need to pay shipping. But it may be a bad deal if they are not good quality. For coin cells it's not only the nominal capacity that matters but also the quality, e.g. fake cells make have much higher IR, which means you'll get much lower real-word capacity in many cases, esp. for pulsed loads such as devices with radios (Bluetooth, etc). See the white paper links I gave above for much more on that. Also quality control is usually much worse for fakes (it's not unusual to see duds even for top-tier brands - you can't expect superb QC at this price point).