Not disagreeing/agreeing with you but just want to point out that Alphabet Inc only publicizes Youtube's revenue and not the profit in their financial reports. So we as outsiders really can't say with 100% certainty whether Youtube is still losing money, or break-even, or profitable.
And if they are profitable this year (or recent years), does it make up for all the accumulated losses over multiple years since they acquired it in 2006? We don't have the raw internal numbers to calculate that.