Not all Bluetooth audio sounds the same, and the codec your devices agree on is a big reason why.
SBC is the mandatory baseline codec every Bluetooth audio device supports. It works everywhere but compresses hardest, which can soften detail.
AAC is the default on Apple devices and generally sounds better than SBC at similar bitrates, though performance varies by implementation.
aptX (and aptX HD) is common on Android phones and aims for lower latency and higher bitrates, which matters if you notice lip-sync delay when watching video.
The practical takeaway: check what codec your phone and headphones both support, since the connection falls back to the lowest common one.