Would you use a reference letter with criticism in it?

One of my references wrote a letter where the first two paragraphs were positive, but the last two were mostly criticism. Mainly things like sometimes falling behind in my expected workflow and sometimes not asking for help when I do fall behind (I mean, there are also times when I'm so fast and efficient that I completely catch up and have nothing else to do for the day that they decided not to mention in the letter, but whatever...).

I'm wondering if I should use a reference letter that highlights some weaknesses. I did read one source that said a reference letter with some critiques in it might actually be good because it shows honesty. They said it could be viewed as more trustworthy than a reference letter that showers the applicant with praise. However, I'm wondering if the same mindset applies to jobs in Japan. I don't know if they have differing views on constructive criticism. I'm also not sure how seriously they'd look into each reference. I'm applying for Interac, ECC, Altia, Gaba, and Borderlink. The letter's structured in a way that it could apply for any teaching job.

I'm curious what kind of references other people used.