It's all about learning curve... Yes, your computer will do a great job, but you'll probably have quite a learning curve (those of us that use them all the time often forget how long it took us to get it right in the first place) and unless it's a laptop, you can't record your gigs (something IMO EVERYONE should do from time to time, for a reality check on how things actually sound, rather than our impression of it WHILE we try and play and put on a show...).
You can still go the computer route once you find you need more than simple two track recording, but for right now, and for no fuss remote recording, the Zoom (or similar product) ought to be the easiest choice.. (IMO, YMMV, yada yada yada)
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An arranger is just a tool. What matters is what you build with it..!