For sure! I work with a county population ... and psychiatry can often be one of the few medical professionals patients see. Keeping tabs on routine chronic medical conditions can be lifesaving for patients. Our inpatient unit is also separate from our main hospital system and knowing some general things from medicine wards has been helpful in managing medical conditions while people are inpatient (with internal medicine help, of course). Routine things like diabetes management, patients with new hypothyroidism, syphilis treatment, etc. etc.
I think a big area where it has been helpful is in consult work. One CL service we have is at a quaternary hospital so people are typically highly medically complex... meaning, if you need to use psychiatric interventions, you have to consider more than just if their kidney or liver function is normal. Knowing the language, being able to sift through the information, and keep on top of all of the medical management that is ongoing with your patients - all of this was more helpful having gone through medicine wards.
Nothing earth shattering and if it comes down to having to manage a medical condition, you're likely to get internal/family medicine involved anyway. But there's an extra level of absorbing knowledge/practice quirks that comes with being an intern vs. medical student on wards that I didn't really appreciate. Going through the slog that is the off-service months is tough but given that you're the main one ordering things, coming up with plans with the senior, implementing them, etc. - there's a higher level of retention there. And it's satisfying when you're on CL the next year and you realize you can focus more on the psych aspect of things and not be bogged down by trying to learn what's happening medically (or neurologically).
Hang in there! It will be tiring and you won't have time for much else. Learn what you can and you may find it coming up again in the not too distant future.