Does it pay to upgrade tubes in power supply of preamp??


Hi- Just got a Canary Audio C1600 preamp= As my title states is there any significant change in sound when upgrading power supply tubes- the tubes are- (1)GZ34, (2) 6V6 and (1) 6SL7
If so any suggestions would be appreciated
The main unit uses 4- 6sn7 tubes- I know there are a ton of 6sn7 examples - has anyone upgraded the tubes in this preamp and if so any suggestions-
Also got the Canary M-350 amps- which use 4-300b per amp and 2- 6sn7's per amp- any thoughts on tube upgrades for these- as 8 300b;s will run a boat load of $$$$- 
thanks and Happy holidays!!
bopper
Before buying any tubes you should give your new preamp and it’s tubes time to break in. Once this occurs and you know how your new preamp sounds then go tube rolling. There is good advice above as to what to try.
guys thks- Here is what brent is sending per his rec-
GZ34 Sylvania fat bottle USA made 1970s
6V6GT/VT107A RCA made various labels, military stock 1950s
6SL7 RCA red base series 5691


Bopper....unrelated but I just ordered the M600 and the C1800 so I will be interested in your commentary going forward.  I do know that I have asked for the Gold Lion PX 300B tubes for the M600.
In my ARC REF3 I replaced the powerregulatertube by a nos Tungsol 6550 black plate .This was a really great upgrade .All the 6H30P-EB tubes by 6H30P-DR versions , also in the powersupply .