My guess is the 60 will do the same as above, but the 45 will taper as usual.
Normally, a higher voltage charger in parallel with a lower voltage charger will have the battery accepting from both in proportion to the voltage spreads for each. As battery voltage rises, the spread for the lower voltage charger gradually disappears leaving the higher voltage charger left to do it all until its spread goes to zero as the battery is charged up.
Here both chargers are at 14.4, but the 45 has the voltage drop at its end, so it thinks the spread is less than it really is, so it will taper as usual, even though they are both set to 14.4. At least that is my guess until proven wrong :)
Another factor running both chargers is you need both their 120v inputs to stay up so their outputs don't fade a bit with "low voltage" inputs. The 120v source has to be sufficient--not on a long extension cord or whatever.
When I was running four Vectors at once, I had to share them around between different Honda gen circuits and trailer circuits even though all the power was coming from the Honda. I noticed that some of the Vectors would have lower amps than expected otherwise. They are designed to keep running with lower input, but that doesn't mean at full amps.