As I said, I couldn't disagree with your statement, but I also don't think it really makes any significant difference whether or not one connects the collector,given only that the transistor can stand the current concerned through its BE junction.
I've just experimented with the BE junctions of a couple of BC107s in series, with a 6V supply, with and without the collector connected to the base - and, as you can see, there is virtually no difference between the two in relation to the 'voltage drop'.
View attachment 336181