Job title: should I keep DevOps Engineer or ask for Software Engineer

I consider myself a Full Stack Engineer. I know the two titles are for technically two different jobs. I have two job offers, one is for a Senior Software Engineer position, and the other is Senior DevOps Engineer. I have decided to pursue the company offering me the DevOps position, but I am wondering if I should ask them to update the title to Senior Software Engineer. The job is going to consist of a bunch of Docker/K8s work, which I am completely fine with. The company is also smaller so I will probably have my hands in a few baskets, meaning the front end and backend I will probably have a say in. I am very proficient on the front end and the backend in many different stacks and languages. Technically, all my previous positions have been titled Web Developer, Full Stack Engineer, Software Engineer. Right now my title is Senior Software Engineer. On one hand, I think the title of Dev Ops helps make my “Full Stack Engineer” case, on the other hand, I want to make sure it is the right move and not to pigeon hole myself, or take a title that overall may have a lower base comp. What do you think? Keep Senior DevOps Engineer, or ask for Senior Software Engineer or Senior Full Stack Software Engineer? Titles are stupid, but also some people care about them, so I want the right one.