It'd be hard for me personally to differentiate the positive impacts of both the oversized driver and the measuring device.
I know that there are times when my LRF battery has died, mid-round, and as a result of not having a backup battery - I've felt like I've lost the added confidence I would usually have if I knew the exact yardage.
That said... I play most of my rounds on the same course, although it's worth noting that we have rather large greens and the difference between "exact" and a "best guesstimate" could be as much as 30+ feet. But having said that, the confidence I have with my oversized driver, finding the fairway and giving me fairly acceptable distance (compared to the smaller-faced drivers from back in the day) is also a huge, huge advantage.
So really I guess it comes down (to me) to where I'm playing. If it's my home course that I know relatively well, then I don't think measuring devices make that much of a difference. There's always the option to play to the middle-of-the-green yardage. But the added forgiveness of an oversized driver, which (for me) equates to more fairways and longer distances (compared to the smaller faced drivers back in the day) cannot be discounted.
The tee shot means so much in this game. Not everything, of course, but it's very rare that I have an awful day off the tee and shoot my usual, expected score.
At my home course where I play most of my golf - the benefit of the oversized driver carries more weight. But playing an unfamiliar course? I'd rather have the luxury of knowing how far I need to hit my irons/approaches.