What would happen if I plugged a power adapter into two different sockets
Probably nothing bad. 

You’ll be plugging into hot &amp; neutral either way, so your equipment will power normally.

A caveat: it's possible that you could inadvertently bypass a fuse, or suppressor, depending on how the power strip is built (ex: if your power strip protects neutral in one row, and line/hot in the adjacent row). In this case, it could be possible that the plug would not use the fuse in either row. Although this would be a terrible design, and not likely.