Seems to be a great deal of overlap in the terminology with some straight-shanked machine reamers labelled as chucking reamers and vice versa.
Most of the chucking reamers you see have a shorter fluted section, which to me always seems like it might possibly wander a bit more in a deep hole but dunno from any scientific investigation about that.
For home use, not much difference drive-wise really. A reamer in a chuck should drive ok so no need for tapered shank. But the tapered type might be easier to install and remove if your vertical height on your mill is limited. Depends on your set up.
One thing, the straight shanked chucking reamers available from Aliexpress etc seem to be useable quality but stupid cheap. Probably because they are churning them out by the millions in China for use in CNC collet holders etc.