But I can see it would vary depending what you are using it for.
I let it do the regular automated tests on the same IP / same duration and want to see/spot if ping times start spiking for some reason, so having the Ping column lined up next to the Time column reads easier for my use case - the Target/Duration is "unnecessary extraneous information' I've got to scan across in that instance. But if you are manually comparing different Ping targets your new layout makes more sense for sure.
How about an option to switch between the "Ping First" or "Target First" layouts?
Could be best of both worlds depending on what you are using it for at the time?