triodesteve wrote:Does it matter to which of these spots I hook up my waste line?
Hi Steve from Walla Walla and welcome to HB. No, it does not matter.
Some DW pump discharge lines are led to what is called an air-gap (yours obviously isn't) mounted on the sink. In lieu of this, typical plumbing codes allow connection to the disposal provided the DW line is first led uphill to just below the countertop and then connected to the disposal. This prevents any waste from the sink from flowing back into the DW. The disposal connection point has a plastic plug that seals the opening and is designed to be easily knocked out and removed.
So, if your DW has a macerator style pump (mini-grinder as Dan says

) then it would be fine to leave it as is. If not, then connecting it to the disposal MIGHT be a good idea. This would open up the tailpiece connection for the Wega tray drain.
But as I said, it doesn't matter. Just be sure to remove the plastic plug on the disposal should you use it for any purpose.
Eric S.