Illness makes it harder to manage diabetes by pushing BG up.
High BG affects our body's ability to heal.
But, in my experience and from the research I have done, well managed diabetes does not make you more likely to get ill. Well managed diabetes does NOT make it harder to fight off infections.
My personal experience is with Type 1 which, whilst being an autoimmune condition, does not make me immuno compromised. It does not affect my immune system's ability to fight viruses.