You could certainly do that.
Ok, I am breaking this down logically (I work out logic problems for a living)
From this thread, I am understanding the following:
1. - You cleaned out the tank
2. - You blew air through the lines to clean them out
3. - You noticed the tank full of crap again - I am now thinking you blew the air through the line from the filter housing back towards the tank? This would make sense that the tank needed a second cleaning, and would possibly indicate that the blockage/no fuel leaving the primer pump housing could be the filter did its job and is now clogged, OR it could be a bad/defective filter (rare but known to happen)
One more thing you could try is take the filter off, put a container that will fit below the primer pump and try priming again. If fuel then comes through, check how ugly it is. If it is nasty, I wouldn't mess around. Replace the fuel lines from tank to primer. Replace fuel filter again, with a good quality one. OEM?
The line from the primer/filter to the pump - Do not blow air through it towards the pump, but disconnect both ends then clean that out as well to be safe. You do not want any of that crap getting into your fuel pump.
Try priming again. If you still have the clear lines on, check what is happening.