Hi,
I agree that 10w30 seems pretty light. According to a 1975 TR6 owner's manual, 20w50 is good for temps from 14F on up, 10w40 for temps consistently below 50F.
Plus, synthetic oil tends to get past seals, rings and guides more easily than non-synthetic. That's one reason I won't use pure synthetic in older design engines, which tend to have greater tolerances than modern ones. (Note: I *do* use partially synthetic, blended oils.)
Most synthetic oil also has too much detergent for old-design engines, which need a bit of coking on surfaces for optimal cylinder sealing and best compression. Any oil that's listed as "extended mileage" has a lot of detergents. You can find some non-synthetic oils that are heavy in detergents, too. To be fair, de-coking - by switching to a high detergent motor oil - is probably more of a concern with an older engine that has some wear than it is with a fresh rebuild.
Finally, swtiching to sythetic oil at 4000 mi. might be a little early. Most references I've seen say to stick with non-synthetic during at least the first 6000 to 9000 miles after an engine rebuild. Synthetic oil is actually too slippery and can cause the cylinder walls to glaze, after which the piston rings may never fully seal.
The above mileages are based upon a first oil/filter change at about 500 miles, after the heaviest part of the break-in process. Then a change at 2500 mi. when most break-in is completed. After that, regular changes at 3000 mi. intervals. So, the 4th or 5th oil change would be the first to use any sort of synthetic oil.