The question was whether heat sinking would sound better. The answer is no. Is it worth heat sinking these op amps to improve reliability? Well, it’s nice to do but we used thousands of these in our designs in relatively hot projection booths and never had an issue with them. OTOH, tiny heat sinks are cheap and easy to apply, and they look pretty damn cool.
If you are going to add heat sinks, the voltage regulators are a great place to start.
Odd places where I have found heat sinks matter are CPUs on Wifi routers. For many years these things were grossly undercooled and several brands I used got a lot more reliable after adding heat sinks and/or fans and ventilation holes.