that locked i5 2400 (unless you forgot the "K") won't draw 125 watts, more like 80 from my recollection when i had one. hard drive(s) ~5w, fans a few watts each, RAM ~4 watts each stick and ~8 watts for the chipset doesn't quite add up to the other 45 watts (80+45=125) but maybe keep that 125 to err on the side of caution.
if it's a K chip than it's pretty spot on. that 150 watts for the 1070 is inline with
peak gaming power
anything below 80% of the PSU rated output is A OK. and keep in mind we are talking MAX power consumption that unless you stress both the cpu and gpu, you will never see that amount gaming (or just about anything else.)
i took a watt meter and measure my own consumption for reasons - after accounting for PSU efficency my OCed i7 and OCed (bios modded) 980ti drew ~565 wattts running prime 95 (blend) and kombuster.
other than that my max was ~360 gaming TW3, ~330 booting into windows and about 65 watts idling.
now that does look good for your circumstances but it's the age of your PSU that could be questionable. i've ran across a 2 articles in the last year or so on [H]ocp where they tested 10 y/o PSU and found they failed/shut down past 80% of it's rated load (both 1K watts, one an antec another a silverstone - so no junk). i was surprised.
i mention that because seasonic, when looking at your PSU specs, kindly told me i was in the legacy section on the web site. so if that has been running for more than 5 years . . it may not give you all the 430 watts. how much less would be a guess.
personally, me being a whacky and crazy person and seeing it's a seasonic, who ALWAYS has proper protections, i'd give it a go. imo, worse thing that can happen is shutting down during a deathmatch. though keep in mind that a heavy load and aging could cause some stability issues due to ripple. so if those happen; you'll need to replace it as much as if it shuts down.
idk, i think i cover most . .even though i gave what craziness i would do, please make you're decision based on verifiable facts and your personal circumstances.
though i would suggest looking at whats on sale just in case.