Try riding your current setup without ever shifting into the 25. Meaning 36/23 is your easiest gear. If you’re good with that, then 39/25 is a very similar gear ratio and you’ll be fine. Of course you always have the option of moving to a 11-28 cassette for hilly days, which is slightly easier than 36/25, but I’m not sure if you want to go through the hassle of spending money on bigger chain rings just so you can also give yourself the hassle of swapping cassettes.
So assuming the bail out gear isn’t a problem for you, nor is the cost of new rings, then you should move to 53/39.
You’ll gain more top end gear for downhills
You’ll be using larger ring/cog combos which are more efficient than smaller ring/cog combos
You’ll have better ability to stay in your small ring without cross chaining on climbs that have sections that flatten out.
You’ll have more reliable/quicker/smoother shifting performance in the FD due to a smaller gap in ring sizes.
That’s another great point, shifting reliability/quickness.
Your note about more efficient with larger ring/cog combos, are you referring to less friction due to larger radii? That’s also an interesting one. I understand it in theory, not sure if I’d ever recognize a difference, but interesting nonetheless. I read some of the testing of larger jockey wheels and it didn’t seem definitively better, but in the case of chainrings, if the bigger set might save watts, why not. 
To be honest, I can’t tell you for sure that larger rings/cogs are more efficient. I’m not that smart, but I was going with the same assumption as you were that the less you have to bend the chain around tighter angles, the smoother it will run. It seems to be a “somewhat” generally accepted concept, but I don’t know if there is hard data to back it up when it comes to cycling and the difference of running 39/19 compared to 36/17. So take it for what it’s worth.
Frankly, I run 50/34. I don’t tri or TT anymore, but I never needed anything more than that along with an 11/25 cassette for any of the courses I did. Went as fast as 57:20 on a flat but windy 40k. Would have gone to 50/38, but I would swaped that crank between TT and road bike where I do need the extra climbing gears for hills that I didn’t do on my TT bike.