Well we do have a domestic armoured vehicle manufacturer in GDLS. Much more likely that the government would continue to pump money there rather than bring in a new "foreign" company.
I'm not sure if the issues with the AJAX platform are specific to the final design decision of the UK but the
Griffin III platform (based on the ASCOD design used by the Spanish and Austrians...haven't heard of them having the same issues) is/was one of the offerings for the on-again/off-again Optionally Manned Fighting Vehicle (OMFV) program and the Griffin II is the vehicle selected for the US Army's Mobile Protected Firepower (MPF) platform.
MPF would give us a common structure to the US Stryker Brigades, we have lots of LAV variants available already for our missing capabilities (SHORAD, ATGM, even Microwave C-UAS in the
Stryker Leonidis under development).
Once our LAVs start needing replacement we could replace them with the Griffin III (50mm cannon, APS, Switchblade Loitering Munitions) which by then might also be the US Army's Bradley replacement if GDLS wins that competition.
Of course GDLS is also makes the Abrams so perhaps GDLS in London could even be set up to do maintenance on our tank fleet if we go with the Abrams.
Nothing at all against the South Korean products....just see GDLS as being more politically sellable.