Ah...I figured it would be possible to transfer between wallets on different exchanges reasonably quickly. If the transfer were possible within 3-5 minutes, you could just keep a BTC balance on each exchange. The round trip would be:
BTC to alt, alt to alt on other exchange, alt to BTC. So it would be a BTC to BTC round trip.
I should have just tried to see what roadblocks I found. Maybe some alts don't allow wallet it on wallet transactions the way BTC does.
I used to play with small arbitrage trades, but as others mentioned, you really need to have BTC + whatever coins you want to arbitrage on the right exchange for it to really work. You can try it like you said, but don't be surprised if it takes 30-45 minutes and the prices are completely different by the time your coin gets there.
I've been burned more than once when simply trying to sell a coin I was already holding, seeing a better price at a different exchange... sending it there, and like an hour later seeing worse prices.