i agree with you that smaller lines could make it harder for the pump to move oil, but like Summer said, if its that small you're not going to get it on the fittings. i did a quick calculation of the amount of oil that would have to flow through the hoses at WOT if the mixture is 40:1, which seems to be the agreed upon ratio that the pump delivers at WOT. SO:
40:1 = 3.2oz per gallon. if the 787 burns 11gal/hr, thats 35.2 oz/hr of oil, just over a quart, or .275 gallons of oil per hour. remember that there are two lines, so each piece of tubing only has to flow half that, so each one would only be flowing half that, or .1375 gallons per hour. break that down to a per-minute number and its only .58 oz. of oil per minute total flow, or .29 oz. of oil per line per minute. you could probably exceed that flow if you just hooked the oil tank feed directly to the lines let it gravity feed.
so yeah, its a good idea to keep those things in mind, but its not likely to be an issue. the only flow rates through tubing that small i could find on the internet was for tubing pumps for use in the medical realm, and only listed 1/16" (2/32") and 1/8" (4/32") tubing. their flow rate for 1/16" tubing is listed as 110ml/min of water at 72 degrees, which is 3.719 oz per minute, so you probably have a good safety margin considering the API-TC oil is a bit thicker than water.