There are lots of options for chains:
Pitch - .325" is slightly smaller than 3/8 (technically .365"), so it takes more, smaller bites of the wood. This makes it smoother in smaller diameter wood.
Low Profile - 3/8 is available in low-profile versions (STIHL calls theirs 'Picco') which also take smaller bites of the wood, and let’s lower powered saws keep their revs up.
Narrow Kerf - narrow kerf chain takes thinner bites of the wood, and makes lower power saws cut like more powerful saws. There is narrow-kerf .325 chain, and now, narrow kerf AND low profile .325 (Oregon 'Nano') and 3/8 chain (Oregon Type 90, and others): this is being supplied on some of the newer battery powered saws.
Manufacturers generally choose what they think the best performing combination of drive sprocket, chain, and bar is for a saw. Users are free to change these. Just understand that the 'standard' parts will usually be easier to find down the road. 3/8 low profile, .325, and .325 narrow kerf chains are widely available.
I run .325 narrow kerf chain on a Husqvarna 353, which could pull standard .325. But that's what came with the saw, and I am really happy with the performance. I would be reluctant to put a low profile chain on that saw, because it is capable of running the larger format, and I would not be using the full potential of the saw.
Philbert