I've been working on the oil lines of my '69 T350 - one of the check valves was seating intermittently, which occasionally caused it to pull air into the line.
Interestingly, unlike all other information I've found for T350's, I found that my bike was fitted with rebuildable check valves on the ends of the oil lines, like Kawasaki oil-lines of similar vintage. I thought that they may have been modified to accept the fittings from Kawasaki lines by a previous owner, but the banjos don't look exactly the same.

In fact, the only place that I have seen similar lines was on Old Japanese Bike's website, on his 1968 T500 project page (see "injector valve" photo here, https://www.oldjapanesebikes.com/1968_T500/page-2). Those line ends look like an exact match to what is on my bike. I guess it's possible that some models may have used this same rebuildable style through '69?
Anyway, I was able to replace the check ball and spring with parts being sold by "tv4fish" to rebuild oil lines on Kawasaki triples (https://www.ebay.com/itm/203520775805?h ... SwWuNgN4J0, or http://3cyl.com/mraxl/oillines/check_valves.htm). In case anyone is in the same situation, it appears that these parts are compatible between the bikes. I can't confirm the longevity of the new parts, or whether the oil flow is still appropriate with them, but they got me back on the road for now.