Another concern is that Triumphs don't use valve stem seals. With all that extra oil up there, you get more oil down the intake valve stems and through the combustion chamber. Which not only gives you ugly blue smoke, but kills the octane of the fuel. Which can lead to detonation under cruise conditions, when it can be hard to hear over the general racket.
Of course you can add seals to the intake stems, but then you run the risk of too little oil to the stem, which can lead to premature wear or even binding. And if one of seals should fail, you have only one cylinder with detonation, which is even harder to hear.
Somewhere on this forum, I already posted a photo of a broken piston from a TR3 motor, caused by an external oil feed & a leaking intake stem seal (Teflon insert came out of the rubber housing).
Just clean the inside of the rocker shaft when it gets clogged with gunk, and you won't need the external feed.