Carry-on for baby only?

Binyamin Dissen wrote:
This is from one of the Israeli mailing lists:

I am going on Lufthansa #451 Chicago to Frankfurt and then Flight 686
Frankfurt to Tel Aviv on [date]. I am bringing a double stroller
that I bought for my daughter, who lives in Israel, and just had
second baby. The problem is that, it turns out, the stroller (even
taken apart and collapsed into the frame) is oversize, and I will
have to pay Lufthansa $155 extra fee to bring with me this $160
stroller! If I had a child, then I would be able to take it onboard
the plane for free. So, I am looking for someone with a child who
will be on this pair of flights, and who would be willing to meet me
at the airport, we enjoy each other's company walking to the gate,
and they put their child in the stroller to get on the plane for both
legs of the trip. Otherwise, I am out $155.

Does this make any sense?

Is it possible to get a refund on the stroller?
I think that people bringing a child needing a stroller, might be
bringing their own stroller.