I haven't compared those two models directly, but comparisons with two lower models of Rigol and Siglent were enough to convince me that low noise was an important factor in some cases. The Rigol was a lot noisier than typical analog scopes, whereas the Siglent is comparable with a good basic CRO. The Siglent also has a for-real 500uV/div capability and the Rigol actually only went down to something like 2mV/div (or perhaps 5mV/div) and then expanded the signal and decreased the resolution for the lower ranges, a sort of digital zoom. They had a 500uV/div range if you hacked them, but it was pretty useless.
As for some previous responses, I disagree that the 10X probe will be noisier than the scope, that might apply to a very quiet scope but with either of these the scope front-end noise will be the issue when you are looking at small signals with a 10X probe. And you'll almost always be using a 10X probe because 1X is very limited bandwidth, so a 'low' signal will be anything below 50mV. So when I've used a 10X probe with scopes like this on small signals (the lower versions of Siglent and Rigol) the Siglent is clearly superior (3-4X better at least) but sometimes I wish it were even better. Always remember the bandwidth limiter will help if your signals are below 20MHz.
There was a mention that the noise appears on all scales, not just the lowest volts/div settings. There's some of each, I suppose you could call them the analog-front-end noise and the ADC noise. The Siglent clearly has more noise on the lowest volt/div settings and above 2mV/div, the 'ADC' noise is pretty minimal. The Rigol will be worse in this regard because of the digital expansion for the lowest ranges.
You asked about sample rate and bandwidth. 2GSa/s is just enough for 500MHz, but the Siglent only has that with two channels active and so the BW is limited with 4 channels. The Rigol has more than adequate samples for its 350MHz bandwidth under any conditions. I'm not sure how much this matters for your uses.
The memory configuration and lack of zoom-out on the Siglent is a baked in trait that I don't think is going to ever change. I find it to not be problem, but it has annoyed some people who are used to a different configuration. I'm also annoyed because I think its usability could be improved with trivial effort by reducing the whole-record display to a bar on the top. This whole thing is less of a problem on the SDS2000X series because in zoom mode you are wasting 1/4 of a fairly large screen. Earlier models were wasting 1/2 of a much smaller screen.