According to the FT MiM ranking, Warwick has much higher levels of employment and the highest salary. Could you please let me know why you're confused?
https://rankings.ft.com/rankings/2948/masters-in-management-2023 AMBS fell out of the ranking in 2023, but in 2022 only 45% of its alumni responded to the FT survey, compared to 64% at Edinburgh and 89% at Warwick. Similarly, the 2021 response rate was 89% at Warwick, 67% at Edinburgh, and 49% at AMBS. 2020 had the same pattern. That suggests that AMBS graduates are cautious about sharing weak outcomes in case their prigramme's ranking was dragged down.
Regarding career progress, salary increase, and overall ranking, Warwick is the clear leader every year. All three schools have above-average career services. Overall satisfaction seems steady at WBS and AMBS (8.64 and 8.87 respectively in 2022, WBS got 8.85 in 2023), and more variable at Edinburgh (9.22 in 2022 but 8.59 in 2023). Personally, I think a campus setting is highly favorable for study but students seem to be more satisfied with an urban setting.
PS Disclosure: I am an Edinburgh and Manchester graduate.