All company A has to do is ally itself with other companies that were on the bad end of judicial outcomes and claim the companies on the good end were cheating or colluding with each other, soon you'll have opposing alliances that don't recognize the judicial proceedings of the other alliances
Afterwards a sorting phenomenon will take place, where those "thousands of other security companies" have to pick between these opposing alliances otherwise they'll be blacklisted from all of them and locked out of judicial arbitration (or worse, have to pay a premium for arbitration)
Eventually the jurisdictions of these mutually exclusive judicial alliances will overlap in which case violence and warfare becomes inevitable