I'm in Ireland too , like you with many cars I have issues with getting alignment done right. My money is still on your alignment . The only place I bring my cars to for alignment is United Tyres on the Long mile Road . I have travelled the country for years seeking hunter machines and not one has ever done it properly. My last car an S Class drove like a tea trolley I brought it to numerous places and whilst they made a minor improvement the car never drove the way it should and steering was always off centre. Finally I brought it to United Tyres and after 20 minutes the car was completely transformed. I just brought my wife's 2016 Is300h there after getting 4 new tyres for an alignment and car drives perfectly . Worth a shot in my opinion. They have an alignment machine that's apparently more accurate than the Hunter Machine and more importantly know how to use it. . Hope that helps. BTW if you ask Lexus to do it they will likely use a 3rd party tyre company to do it.