I've spent 3 years dealing with AWS so I would be asking whether the tasks that go away due to the move to a cloud provider allow you to pursue activities that are more beneficial to your organisation.

If you have traditional hardware that isn't going away and your system is one that barely represents an increment in the work to keep the other systems on that hardware operational then there is little benefit in migrating.
EXCEPT...having cloud experience in a work capacity looks good on your CV.  The cynic in me notes that an awful lot of technology choices seem to be fuelled by the CV aspirations of the decision influencers/makers than organisational need.

Where a move to the cloud makes sense is

• You don't need the facility 24/7/365




• The cost of admin on-premise exceeds the benefit of doing so




• The facilities in the cloud offer features that are genuinely useful but would require additional purchase if attempted on-premise




• The cloud facility frees you to focus on other value-add stuff




• The system (while useful and valuable) is not core to the business.  It's analogous to payroll.  I'm not sure how many companies run their own payroll anymore




• Integration with other highly desirable cloud provider facilities is straight forward.  AWS, Google and Microsoft have a lot of AI/ML/DW facilities that would be very expensive to acquire and support on-premise




• Hardware refresh and licence upgrades are coming around.




• Your cloud vendor offers red-hot services including security and design advice

If a company starts shifting to the cloud there comes a tipping point beyond which the cost of paying for their own data centre just doesn't make sense.  You end up with a few systems having to bear the brunt of the costs of that on-premise data centre, at which point on-premise no-longer makes financial sense.