Hi Kaustubh,
I disagree this is a common problem in “all” services. You namely find this with Lambda serverless style functions although you can now configure without cold starts. The problem is how you designed your service. I have cloud services designed on AWS EKS + ALB and it does not encounter any cold starts from our users.
Why does your database have a cold start problem? I’m paying for a backend to stay alive and running and you shut it down to save on your costs?