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
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.