The fact that you DI the guitar doesn't change the differnce between distorted single coils or humbuckers, so if you're thinking of getting a SG or Les Paul etc for nicer distortion, that'll still be the case if you DI.
Strats have a nice clear kind of distortion wheras Humbuckers are better for pure grunt. I'm not sure of the science behind it but the original sound is quite different:
Single coil = lighter sounding, full of character, lots of top end in the sound (="detail", if you like)
Humbuckers = generally a bit less top end, more output, and someting-I-don't-know-what that makes them sound the biz though a distorted amp.
So you'd think upping the gain on a single coil and bringing the tone down a bit would make it sound like a humbucker ?
Hmm .. I've modified my strat so that the bottom tone knobule works on the bridge pickup, so I can turn the tone down so it's less twangy. I also turnt he gain up on the amp (well, effects board in my case). This is specifically for playing things like ACDC. It works a bit, in that the distorted sound is better than if left with tone fully up, but there's definitely something else goiung on with humbuckers which make them sound like they do.
Getting a decent DI sound from a distorted guitar is quite an art. It might be worth finding out from the fella you mention which effect he uses to get that sound, to save trying loads out ?
I have an unjustifiable intuition that it might go lie this :
Single coil through humbucker effects in search of humbucker sound = fair amount of experimentation potentially resulting in goodly smiles
Les Paul/SG though fairly standard distortion effect = Immediate smiles and potentially some bouncing about like a loon
One othe thing to mention is that if you just plug a distortion stomp box into a recorder of some sort, you'll get a horrible buzzy sound (regardless of guitar) which I've heard best described as "like a wasp in a paper bag". That's because guitar amps do a lot to the sound, and things like that sound ace thogugh an amp but not if plugged right into (effectively) your nice hi-fi monitor speakers. So you need to use an effect designed for DI - or has an 'amp simulator' built in. I put that in inverted commas because some amp simulators are a bit .. kind of.. crap and frustrating. Hence recommendation to find out the make of the one you like the sound of.