Will taking up a job as a manufacturing engineer effect my job prospects to mechanical engineering roles in the future?

I am currently working as a Mechanical Design Engineer at one of the Silicon Valley Tech companies.

Recently, I was interviewed by A company for the Manufacturing Engineer role.

The process is almost done and I think that there will be an offer most definitely.

I just have a lingering doubt/concern that if I take this role, I will not be able to revert back to a Mechanical design engineer role in the future as the places to where I will apply will consider me a manufacturing engineer and not a mechanical design engineer. The job is very similar to what I am doing at my current place but the title is different.

So my question is: Will taking up a job as a manufacturing engineer effect my job prospects to mechanical engineering roles in the future?

Also: Will companies entertain my requests if I ask for a slight change in the job title to something like "Mechanical Engineer in Manufacturing"?

Further details on the role:

This role basically involves Architecting (system-level design) of the manufacturing lines, giving specifications to the vendors who build the equipment, reviewing them, validating them. Depending on the individual doing the job, he/she can dig very deep into the technical review and can also suggest very specific parts and designs. So, in a way, this role also has a design component to it. It is quite interesting and I feel is challenging.