It may just be that I'm old and clumsy, but I would find it very difficult to point to the end of the title. Habit and alignment makes it reasonably possible for me to hit the right thing most of the time currently (I still accidentally hit the down when I meant the up, or vice versa, on occasion...which is very disappointing here, since the arrows then disappear and I can't fix it).
I'm very, very, very much opposed to randomly placed arrows, rather than aligned ones. I would find it deeply disorienting.
I don't usually have strong feelings about bike shed type questions...but on this count I am emphatic. In my estimation your idea is terrible. I can't think of a single benefit to having the arrow at the end of the title rather than the front.
But without a proper test, I don't think you or I will be able to judge which is "better".
Sorry, I can't provide hard data as it's company confidential, but consistency of position has become one of the main design driving forces, so clear was the evidence.
I would be interested in knowing why you claim to be indifferent to it. My tests showed people thought it didn't matter, but their actions were significantly more efficient. Some didn't believe the results, even when shown the measurements.
Why do you think you are indifferent?