Simplicity
I voted for the bolt action. I've found many of the rifle pundits have already quoted my opinion endlessly before I made it up, but I'll repeat them here just for giggles.
First, a bolt allows easy extraction of fired brass if a handload somehow gets past the safety point for a particular gun, which could be WELL BELOW a manual's published maximum. It also allows a lot of handloading to be done with safety and a lack of brass stretching. I know that this is a myth with some actions, but it is certainly true with some variations.
Second, I've never been able to jam a bolt if I operated the action properly. I have jammed autos, pumps and levers that were clean and in good condition, even when I operated them exactly as prescribed. Sure, I can jam a bolt if I load it wrong, "short stroke" it, or otherwise operate it wrong, but none of mine have failed me when I do my part. I have had all versions of other actions fail during normal operation.
Third, I like the accuracy that most of my bolts have shown to be a consistent trait. The only other action that rifled a bolt in my minimal experience was the Remington 760/7600, so hat's off to the Remington slide action. I'm not saying your non-bolt is not accurate; I'm saying mine weren't.
Fourth, I like how the bolt can usually be configured with good balance (which, unfortunately, is the Remington 760/7600's downfall). A good single/double, lever, or auto can usually meet this as well.
Last, if not least, as a dedicated reloader, I don't like to chase brass at the range or in the field that an autoloader kicks out, and a brasscatcher is impractical in the field.
If I could find a slide action that offered easy extraction under all conditions, better balance, good reliability and excellent accuracy at a reasonable price, I would be all over it. I haven't found it yet.
P.S.: I am looking at a Swiss K-31 which could be the answer to some of the questions above; we'll see.