Depends on what the stock converter is. 14.4 is way better than 13.8
My "learner" batteries were brand new U-2200 6s. On the single voltage 13.8v converter, after the batts got down to 50% SOC, they never got back into the "green" on the hydrometer even after a few days of recharging at 13.8 In the "white" was as good as it got.
No idea of life expectancy if you never get them past being in the white. Not long I guess.
After a few months of that, I discovered Vector portable chargers (14.6v-14.8v depending on model) and was able to "recover" my 6s so they died after five years instead of one maybe.
My replacement 6s are doing well after six years so far, are always recharged to high SG, and should last some more time. I now use PowerMax adjustable voltage chargers as my "new Vectors" which is also working out well.
BTW if getting a PowerMax, do not get the old regular model, which drops to float voltage too soon, but do get the ADJ model which is great. I think there is a new regular model coming out soon though, which has a better charging profile. Check with them for available date.
If that costs too much IMO get the PD with Charge Wizard so it can be made to stay at 14.x for a four hour run.