For example, aeolipile is one among the earliest appearance of steam engine, and we all know that the invention of steam engine marked the starting point of industrial revolution. If other scholars had found the potetial of aeolipile and begin to innovate it to make it more identical to the steam engine we all know today , would that begin the industrial revution more earlier?
This is a pretty common question brought up on the sub, and there's a whole section on the FAQ right here devoted to the topic, which includes this post by /u/XenophonTheAthenian dealing with the question.
In short, the idea that the library's burning set humanity back by some amount of years is a total myth. Several other large libraries on a comparable scale to that of Alexandria existed within the eastern end of the Roman Empire while the active industry of book-copying throughout the empire meant that we didn't suddenly lose a chunk of the most influential texts of the period simply because one library burned down. Additionally, the idea that the loss of these supposedly vital texts "halted human progress by x years" enforces a misinformed view of technology being some linear process that history progresses down like a civ game. Τhe fixation on specifically the library of Alexandria's destruction as having ramifications spanning all of humanity also presents a highly eurocentric perspective on history and the nature of technological progress, given that multiple, highly advanced, large states existed across the world at the same time as the Roman Empire.