Yes, the TC engine's tappets are very well lubricated as they run in an oil "bath" and the somewhat lower ZDDP levels found in modern oils are not a concern.
Regarding Renault engines, it is not easy to make definitive statements regarding ZDDP levels in oil. It is clearly not the case that every spray-lubricated-cam, flat-tappet engine will have problems with low ZDDP oil. Some clearly do, some don't. Initial break-in is very important. More important than ZDDP levels? Maybe. Remember, these engines also had failed cams and lifters when oils had the higher ZDDP levels. More failures now? It would appear so.
A local Europa owner had his genuine 807G engine overhauled and warmed up. I'm sure they used high ZDDP oil, and they broke it in correctly. His engine is currently apart with, you guessed it, failed lifters and cam. I wasn't personally involved in the build but perhaps the head was shaved below spec which results in a different contact pattern between the cam lobe and the lifter. Or, maybe, the owner revved the crap out of it from mile zero.
What would I do?
TC motor? Nothing, it is not an issue. Use a good quality oil and that's that.
Crossflow or Wedge? Follow the service manual's recommendations, break in the engine properly, don't run it hard until the engine has properly warmed up and use an reputable oil with a higher percentage of ZDDP.