the S350DB is definitely cold no matter what setting you put when compared to S530D haha.
Extra obvious when you get to put them side by side
Because I felt that S350DB has better extension on the highs and the subs hits lower notes, it makes the whole middle range sunken.
Use both on nominal tone (0 treble 0 bass) and you can still feel the S350DB airyness of the highs with very subby lows with the subwoofer giving
zero interference on vocals while the S530D feels very midrangey especially male vocals will interrupt the subwofer for extra warmth. But thanks to S350DB good crossover things were very clear in vocals.
Not sure what's your definition of harsh. In my case if the tweeter doesn't extend high enough to the teeny ringy ultrasonic range then it'll be harsh. Call it walkie talkie style trebles.
Quite common problem especially on Pro audio PA speakers for large halls. They have like 3" paper cone tweeters on piezo drivers and they cannot reach the bright airy sound.
Usually in PA Speakers I had to EQ the 18kHz and 20kHz to regain the airy brightness. (Now coins and keys will sound real thanks to the tweeters)
S530D sounds harsh because the tweeters are quite into the midrange so it kinda hit the 4-6kHz range which reminds me of the famous Yamaha NS10 harsh cone tweeters.
S350DB however reaches the very high highs (and even more if you turn the treble up) which can get real sharp. Tweak to your taste and you can avoid loud trebles but like I said, they are quite accurate to source so if you have poor source it'll translate very direct.
Nice to know you're getting a soundblaster ae-5. I'm pretty sure any pair of speakers would do good to you

I don't have enough experience on speakers to pinpoint the reason which gives harsh trebles to me... I can only say that the Creative T40 II trebles felt nice and warm for me, as well as the satellites on the old Logitech X-230 2.1 set.
My brother has these dedicated tweeters in his car - they clearly go high and have awesome detail separation there, but at the same time are non-fatiguing (I guess you could call it "airy") to my ears. Sounds great. Do you think the S350DB would have that kind of effect?