I don’t think anyone even suggested one way was better than another..Lithium has its limitations but they’ve been rectified with Litium Iron Phoshate @Andrew A. As it stands they’re rather cost prohibitive though when you compare comparable capacities. By the time my current battery kicks the bucket I hope to replace it with a much more reasonably priced one. LiFePO4 batteries are definitely the best option though since they provide stable power longer and they’re still lightweight.
Regarding the battery box.. Cost wise I’d say my setup is decently inexpensive, when you look at he options, since it only consists of an inexpensive battery box and a battery. I have no problems putting it in the car, where it stays, and removing it when I’m done with it. It gets charged/maintained a whole 4’ from where I park my wagon and it’s got a handle to make the move easier. Do I wish it were lighter? Absolutely but the battery in it weighs no more than if I ran the same second battery permanently mounted and I get to relieve the burden from my vehicle when it’s no longer needed. That said, this is what I did and it suits my simple well thought out needs perfectly.
I don’t think it’s fair to say one way is better than another. Saying that one way is better than another when it comes to something like this fails to take into consideration that we all have different setups and different requirements. Different strokes for different folks.