I've got a JCB so I don't recognize what's in the red circle.
That said, for me to take my boom cylinder off (the one that's INSIDE the boom), yes.... they evidently recommend digging a hole, planting the backhoe in it and then lifting it out vertically.
Fortunately for me, we've got a dry pond that's not too deep and has steep enough banks I was able to simply lay the hoe down the bank and that was enough angle to pull the cylinder out.
I had recently had shoulder surgery so was still recovering, not supposed to lift 10 pounds kind of thing.... and I need to remove this 14,000 pound (or so it felt) cylinder.
I got some ratchet straps, attached them to the loader bucket, draped them OVER the cab and on to the cylinder. Alternating straps, I "walked" the cylinder out of the pocket, used more straps to pull it towards the truck, and more straps to pull it into the truck.
Pretty much did all that with one arm. Wife's cousin came out to help.....stopped and dropped his jaw wondering how I got it done alone...
Put it back in same way but obviously in reverse.
I was glad I didn't have to dig a hole as I wouldn't have put a hole in the field next to the house which would have meant my tools would have been much further away. Having the dry pond was nice.