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Maybe...
Having a 5/8" hose for more flow makes no difference if it is only supplied with a 1/2" line on the other side.
On another note if buying a new hose and the possibility of being in a cooler environment consider a hot hose (heater element with insulation). Defiantly Food Grade.
I consider potable water hoses to be somewhat expendable or consumable. 2 or 3 seasons and I think I've gotten good service out of them. So I buy them at WalMart or Home Depot.
I think the 5/8" hose takes up a little more space in the storage bin. If looking at the two on the store shelf I'd get the one that seems to be better made. I don't think diameter is going to make that much difference.
Faucet to trailer really isn't going to make a big difference as mentioned be sure to have the proper regulatory on for water pressure so you don’t damage a line/ connection inside the trailer.
A camco (blue color) hose will do the job at hand.
I go with the larger diameter hose, as long as the fittings aren't restrictive. My hoses are almost always used to fill the fresh water tank. At 120 gallons it can take a while to fill. The larger diameter helps. I bought two new Valterra 5/8" hoses last year. A few weeks ago one of the fittings just popped off, spraying water everywhere. It had been leaking for a while, so I should have suspected something was up. The hose was OK, just a bad fitting and a lousy crimp. I put on my own fitting and it's fine.
I've been looking at the lay flat hoses. They take up a lot less space that the traditional tube type hose. This one fills all my requirements except that it's expensive.
I'd focus on hose quality rather than diameter. As noted above, you're connecting to 1/2" anyways. I like the Camco blue hoses. The Camco white hoses are absolute garbage, they kink easily and sometimes won't seal at either end. The blue hoses are heavier with better end connections.
Those are the same things I use. I store them with a pressure regulator in a small container of their own to help prevent contamination. They work really well and store even better.
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