Not sure where you are getting your info from - even in the videos you linked it mentions the SEI keeps electrons in the electrolyte.
The last video speculated about Teslas formation methods without going into detail.
I’d be curious to see any manufacturers protocol for SEI formation, it would have to be the most closely guarded information in the field.
It is worth investigating, and is one of the reasons i’m opposed to parallel top balancing at low currents.
You need to rewatch video, that is not what they say.
Jump to timestamp 7:55. The verbage of 'electrons in graphite is a problem' should be more appropriately worded as 'electrons in graphite create a potential problem'. Having electrons in graphite is normal cell operation, the result of external current flow. The problem they create is possibility they migrate into electrolyte which the video does explain.
Most of the cell layer potential difference is at the LiFePO4 to electrolyte interface. The electrolyte to graphite layer is low potential difference making it easier for electrons to jump the layer interface and break into electrolyte where they activate chemical reactions detrimental to electrolyte. SEI creates an additonal electrostatic barrier that helps to repell electrons back to graphite anode, while still allowing Li Ions through with minimal blockage Without the SEI layer the cycle life of a cell will be significantly reduced.
Most commonly used electrolyte is hexafluorophosphate, ‘salt’ (LiPF6) and Ethylene Carbonate (C3H4O3) ‘solvent’. LiPF6 salt dissolves into solvent to create Li+ and PF6- free floating ions. Electrolyte is the transfer ‘conveyor belt’ for Li+ cat-ions movement between cathode (LiFePO4) and anode (graphite) of cell. The solvent is a hydrocarbon (petroleum) and is somewhat flammable although it has a very high flash point, similar to fuel oil or diesel.
As an aside, the electrolyte stable range is cell voltage between 0.2v and about 4.3v. This range has some temp dependancy. LiPO cells use similar electrolyte but the different cathode material gives the cells a slightly higher voltage. The 4.2v max charge voltage for LiPO cells is very close to the limit for electrolyte making max charging voltage very critical. LFP cell's lower voltage gives them more margin to the electrolyte limit. The LiFePO4 cathode is also more robust against overcharging. 4.3v is not a hard limit, it is just where the decomposition of electrolyte exponentially accelerates. If you bloated a cell during charging you likely took it above 4.3v.
The charge forming requirement is openly known with a lot of research papers on topic. A given manufacturer's process is a closely guarded secret partially for propriety reasons, partially to avoid industry scrutiny challenging of an accelerated process that could negatively impact long term quality of cells. Most common trick is electrolyte additives and elevated process temp to enhance formation speed. Understanding possible long term negative side effects of additives is the tough part.