I think it's just a matter of preference. I started out going the parallel cell route and then changed my mind. After that, my plan was to make parallel strings and if they couldn't balance, I would just switch over to parallel cells. But balancing doesn't seem to be a problem. My charge controllers are set to 56.6 absorb which is ~56.2 at the batteries. At the end of absorb (15 minutes) the lowest cell is 3.50 and the highest 3.51. Balance volts is set to 3.51. 3.51*16=56.16v which is close to the 56.2 charge rate. I also have two strings with welded studs and two without and so far this difference doesn't seem to matter.
I like multiple strings because if a cell goes bad, I can just drop a string and have power while I work on the bad cell. I can also more easily figure out which cell is the problem cell. In addition, the blockmons have more balance capability when using multiple strings because it's one blockmon per cell rather than one blockmon per 4 cells. But, this configuration is more expensive: more blockmons, battery cables, and fuses. It also means that if you drop a string, there is a bit of a process to add it back so that each string is at same state of charge. You have a similar problem with parallel cells. Bad cell means take apart the battery, reconfigure for 3p, fix problem, get that (or replacement) cell back to same state of charge as others, then reconfigure for 4p. In either situation, the bad cell problem isn't good. But it's really a matter of preference.
I think some of the negativity on parallel strings is when people use multiple bms and contactors. In this situation, strings can become out of sync relative to state of charge when for example a bms drops a string out and the other bms don't and then the bms that dropped randomly onlines the dropped string at a later time. Now you likely have one string that has higher or lower state of charge than the other three.
I would recommend buying an extra blockmon or two. I had either a bad blockmon or a bad blockmon cable. It would intermitently flash 0v or some low voltage during balancing. I suspect heat was involved. It would throw a low cell voltage fault and offline the battery. I initially though connections, but redoing them made no difference. Fortunately I had bought two extra blockmons, so I swapped in a new one and no problems since. I need to buy a couple more to have on hand. On the same note, I wish I had bought a couple extra cells. I probably should do that.