I’ve taken two Sony VAIO packs apart and one HP, scavenging the cells.
The problem apart from fitment and getting things soldered properly, is dealing with the BMS (battery management system) circuit and whether it’s been shut down for good, if the pack stopped working. Sometimes the circuit can be reset, but often times once it shuts down due to a weak cell, or string, it’s done and adding fresh cells won’t reset things. This is similar to tool battery packs and the thermistor. You need to do both, but laptop packs have a BMS circuit located in the pack and you’re not going to replace that if it’s bad.
I was just given my sister’s minty 2012 Dell Inspiron without a power supply and with a non-working battery. I started looking at battery packs—OEM Dells before the power supply arrived and they were only $36-$42 shipped.
I don’t know where you live, so getting stuff like that might be problematic, but you’re right, the manufactures shoe-horn those cells in pretty tight and while I’m pretty handy, I don’t know if I could have done a one-for-one swap. Also, I pretty much destroyed the plastic cases with my Dremel tool, getting the cells out, so that alone, was going to be a non-starter.
Good luck, but sometimes it’s just easier to pony up the scratch and buy a new one.
Chris