I've seen birds choke when they get too greedy, and there are some pretty small strawberries sometimes
By choke, do you mean you had to intervene to save the bird's life?
Or do you mean they made weird expressions and looked unhappy and swallowed and stretched their neck (etc)--and solved it themselves within a few minutes?
I've seen the latter, but I don't worry about it.
I assumed you meant the kind of choking that is deadly, but now I realize I might have been mis-understanding.