By your reasoning, we shouldn't want any of our players representing their national sides with the chance of injury.
Always been a double edged sword for me.
Since we hit the big time I've always wanted our players to get picked for their eligible country but also always wanted the whole squad to be able to get some recovery and wind down time during international breaks (and I'm perfectly aware you can't have both!).
Had mates who always went everywhere with England as well as Brighton when we were younger and they always said "club before country".