Flying into US and getting a connecting flight to Salt Lake, different airlines, had skis sit in Chicago for a few days. Being international flight into Chicago had to claim bags though and then take them to a drop off for the next flight. Handed over, guy checked the tickets and bag labels and took them off. They didn’t go anywhere after that for a few days.
Although bags would still need to be claimed and re-checked with same airline, I’ve never had issues where it’s the same one and connecting international flight. Actually, I think with the same airline the label is checked through to destination so only has to go to the drop off, but separate airlines I had to go to the check in desk, get a new label and then hand it over.