Unfortunately, yes it is true, assuming you wanted to take LSL west to Springfield, then Vermonter north. I agree it's idiotic, how Amtrak does their schedule as to not allow those to connect in Springfield, between #449 and #54/56.
I would propose as a workaround for this scheduling flaw, that you should take something like the Peter Pan bus west from Boston South Station to Springfield, then take the Vermonter north. I know it's a bus and that you'd probably prefer to take a train, but it is a workaround that'd allow you to make the Vermonter connection on the same day. Not sure if there is any way to ticket a Boston to Springfield bus as some sort of Amtrak Thruway bus via Amtrak's website, or that you'd have to book your bus and train tickets on 2 different websites. Schedule, when I did a search on Peter Pan's website:
https://webstore.peterpanbus.com/?d=&a=&t=0&ds=4999&as=5036&dd=8/27/2019&rd=&tfa=1
Also it's funny that you mention that the scheduling doesn't allow for a west to north train connection between LSL and Vermonter, since this same problem also exists between LSL going west, and Adirondack going north. Weird how connecting on the same day between Adirondack and LSL(Adirondack to Schenctady southbound at 5:18, then LSL west at 7:33pm), and also Vermonter and LSL(Vermonter arriving at Springfield at 2:35, then LSL west at 3:18) only work if you're traveling south, then going west.
ETA: I was partially wrong, that the Vermonter schedule only allowed for a westbound connection, after you arrived going south on Vermonter arriving into Springfield. I now see that a south to east connection, would work when relooking at both schedules(southbound Vermonter arrives in Springfield at 2:35pm, eastbound LSL arrives at 5:28pm). No wonder that I bet people who own a car, would probably rather drive from the Boston area west to Springfield to ensure they make that train from Springfield, if they had access to a car or knew someone who could loan them a car for the day. And assuming Springfield, had overnight parking available.