In that occasion, yeah
How else would you describe the relationship between that Minesweeper and that CSG? Pal? Buddy? Companion?
If you operate with something you are then PART of that something, whatever that something, in this case, a CSG, go thru, you will go thru the same because you are RIGHT THERE next to it.
I mean sure, I "operated" with the 3rd infantry division in Iraq, does that mean 3rd infantry does not had me in it, and I am not part of that unit? I mean, does that mean I don't need to go to Iraq like the rest of the 3ID? I don't have to fight in Iraq with the 3ID, I am just "operated with" 3ID...If I operated with 3ID, then I will be in 3ID TO&E, even if I was from another unit, if I operate under their command structure, then I am part of them. i.e. being a part of 3rd infantry division as one of its soldier, the same here with LCS Tulsa, if they are operated with CSG5, they are a part of CSG5. that minesweeper don't just stay in Pearl Harbor when they "operate" with CSG5, that mine sweeper will go where the CSG5 goes, hence making it a part of CSG5.........
That's just common sense and your logic is weird. Do you want me to make a poll here and ask whether LCS Tulsa operate with CSG5 means they are a part of it?