Yes this setup has them hooked up in parallel, which is exactly the opposite of inline.
Looks like a lot of work for no benefit, IMHO. Assuming that your calculations can prove that the single return line is indeed big enough to not restrict the output of three separate filters...with three separate pumps using likely more energy than one larger more efficient one...to me the silliest thing about this is the apparent lack of separate valves to allow individual filters to be removed from the system for cleaning while the others continue to function. This looks like one of the setups that are often featured in picture threads started by aquarists who find the hardware much more interesting than the fish.
Personally, I would not even play with this as it is currently configured. In order to make it even halfway worthwhile, I would install two cut-off valves on each filter, one on intake and one on outlet, and ideally have quick-disconnect unions that would allow easy removal of any one of the filters independently for servicing and cleaning. Fortunately, it appears that you plenty of vertical clearance under your tank to modify the setup this way. For maximum efficiency, each filter would need its own mechanical filtration to keep the remaining bio- or chemical-filtration in that unit from clogging.
TLDR version: get a sump.