IMO, your question is loaded and too broad.
It's like me asking why all planars sound better than cones/domes.
There are far too many speaker to lump one style into one group of poor imaging designs.
You said later...
"Some examples of line-source speakers that I'm referring to are the Infinity IRS, Pipedream, VMPS, Linus, etc."
You don't seem to know what a line source is. VMPS aren't.
Plus the fact that tons of VMPS owners will tell you they DO image very well.
Are those Inf. IRS line source either? I didn't think so, but they're so old either way, does this out-of-production speaker really matter? Not like you can buy a new pair.
While I don't exactly think Tyson's statment -"Line sources and bipoles tend to go hand in hand." is true..., I think it'd be more accurate to say that some line source designs are bipole. But I'm thinking more are dipole and from what I've seen most are monopole.
The point being... just a bi/di/monopole diff. in the design with greatly effect imaging on top of the driver's used, cabinet, and x-overs.
IMO, monopole is the best for sharp imaging, and I find bi/dipoles to be blurrier and more airy/diffuse sound... but that's in general.
In the "real world" certain bi/dipoles w/ a lot of space around 'em can image great (Logan's w/ a LOT of air around 'em), and a monopole throwing a hard refelction off the side walls can end up imaging poorly.
Far too many speakers and factors to just say "line sources image poorly".
There's an effect also of the outter drivers being father away from your ears causing a delay to the sound. That can make a blurry image and I think cause some combing effects too, but that's a little beyond me? I dunno?
Some line sources are short enough that this effect is fairly minimized, some are VERY tall (like 8'!) but are designed for the outter drivers to be compensated for that distance effect -at least somewhat.
My speakers are Newform Research and the 45" ribbon is a line source, but the dual ScanSpeak woofer cabinet is not.
I find the ribbons to be the best imaging drivers I've ever heard, and the woofers are pretty good, but not in the same league.
I suspect GR's Alpha line array has great imaging, going by the words of several people who've heard it, and certainly very diff. from the speakers you said imaged poorly.