If that non UK university accepts IELTS, it will accept IELTS UKVI.

https://takeielts.britishcouncil.org/ielts-ukvi/what-ielts-ukvi

The actual test taken is the same as IELTS (for all other purposes), same content, examiners, format, level of difficulty, scoring and so on. The difference is in the customer journey on the test day. Test Report Forms will be slightly different, to show that you have taken the test at an IELTS UK visa session.

https://takeielts.britishcouncil.org/ielts-ukvi/test-takers-faqs#What is the difference between IELTS for UKVI (Academic) delivered on computer and IELTS for UKVI?

What is the difference between IELTS for UKVI (Academic) delivered on computer and IELTS for UKVI?

There is no difference in the format of the test. In IELTS for UKVI (Academic) delivered on computer the Listening, Reading and Writing components will be taken on a computer, the Speaking component remains face-to-face. All other aspects of the test are identical whether it is taken on paper or on computer. For more information, visit http://takeielts.britishcouncil.org/ielts-ukvi/academic-delivered-on-computer.