... does ordering matter in the Heaters? For instance, can I wire up EL34, 12ax7, EL34, 12ax7, lamp? I'd say this usual parallel wiring with Center Tap 6.3 VAC from PT.
For A.C., what Shooter said.
My opinion is that heater phasing is pure b.s.
...the same question for DC heaters...
If all heaters are in parallel, then no. If you arranged the heaters in series, then maybe.
Say you have oriented your use of the heater pins to power 6x 12AX7's with each drawing 150mA at 12.6vdc (series arrangement of the internal heater sections). And you further decided to place each 12AX7 in series, powered by a d.c. supply of 12.6v * 6 = 75.6vdc @ 150mA. You probably did that because you were sharp and knew pulling low current through a voltage regulator eases design requirements and yields better regulator performance, and that there are available sources of power in the amp which provided well over 75v peak a.c. which can be regulated down to the desired heater voltage.
Now if you had the above arrangement, one end of the heater chain is connected to the regulator output and the other end of the chain is grounded. You'd probably want to have the phase inverter at the higher-voltage end, because a 12AX7 is rated for a max of 100v from heater to cathode, with the heater positive, and the cathode of the phase inverter is very likely at an elevated d.c. voltage already (for most phase inverter circuits). So the input stage would be the one that gets grounded.
Transformerless amp with series-string a.c. heaters do the same thing, with the rectifier connected directly to the line, power tubes next, all the way back to the input tube with has one heater pin grounded. They did this because the smaller tube was likely to have the lowest rated voltage allowance between heater and cathode, and because having the smallest a.c.in the tube was least likely to induce hum in the input stage.
But you won't be copying any of those amps, because as a sharp guy you're willing to pay a few bucks to acquire the isolation from the power line that a power transformer offers, and because saving a few bucks isn't worth risking electrocution.