When you are creating your resume, you don’t need to put every random job you’ve ever had. What companies do is they look at your jobs on the resume, and at most call the employer and ask them if you worked for them and how you did at the job.
There is no way for a non government employee to know if you worked other jobs. Keep off any jobs that you worked at for less than 2 years and use every skill you learned as a skill for your resume.
Nothing hurts your resume more than having 3 or 4 jobs in a span of 2 years because it shows you are unreliable.
I know for a fact that none of my references have ever been contacted for a reference. I have my old university professor is one of my contacts because at the time I was applying for jobs I didn’t have any other possible references I’d had no prior work experience.
Anyway I never got round to actually be removing his name and a few years ago he contacted me to tell me he was retiring (I don’t know why he felt the need to tell me this), I asked him if anybody had ever asked him to provide a reference and he said no one had ever contacted him about it for me, or anyone else who’d put him down.