Titles don't matter that much except for companies that literally base your pay range on it. If they are going to do that, then fight for the best paying title!
And yes, I do work for a comp that does it. I started as "IT Helpdesk" and could not get my title changed even once I began supporting Linux web servers and doing all the purchasing and essentially being responsible for all-the-things.
The person before me who remained on staff for a while was called "IT Coordinator", whatever that means.
Eventually I had to write like a 6 page letter explaining what I do and what titles actually mean and finally got my title approved to be "IT Systems Administrator" (a most appropriate and generic title for my position and duties). And then negotiated my pay as a separate thing. Plus I like calling myself a "SysAdmin" and can celebrate national SysAdmin Day.
What's funny is that when my boss would send phone calls or emails to me to do things, he would use important-sounding titles to look impressive to the other person. Like "I'll pass you on to our CTO to handle that" even though I'm no such thing, lol
