Sorry, but Groove Tubes MAKES NO TUBE, they just define a tolerance range for each technical specification and, test and clasify tubes that the very few manufactures do, rejecting those that doesn't fit to their tolerances.
Groove Tubes, among other re-labelers as TAD, Wattford Valves, etc. can order some special batches to manufacturers. This is the clear case of any tube that you see ending with STR (what means something like Specific Technical Request, or alike).
And all those special orders are made in China, exclusively.
Groove Tubes (before Fender) invested in tooling in a Chinesse factory, to be able to get tubes to their specifications, as far as I know.
Answering to the OP. Yes, certainly for each tube type (EL84, EL34, 6V6GT, 6L6, 12AX7, 5751, ...), the sound changes from Maker/Model to Maker/Model.
Two tubes of same maker of same type (12AX7) but different models (Sovtek 12AX7, Svetlana 12AX7, EH 12AX7, Mullard 12AX7, Genelec 12AX7...) sound definitively different.
For guitar amps, there currently very few tube factories:
Red Sensor, in Russia, running several brands, including: Sovtek, Svetlana (not the real Svetlana!), Genelec-Gold Lion, Tung Sol, Mullard, Electro-Harmonix, ...)
JJ Electronics, running just JJ brand
Svetlana (Sant Petersburg): just running the series Winged C and Winged S. Red Sensor bought the trade mark for their use in USA and Canada so, the real svetlana HAS to sell its stuff like Winged C and Winged S logos. Ironic.
China (I don't remember if Sino or Shughuang. One of them closed, the other is still alive). Those make the same tube and relabel them for everybody (TAD, Wattford, Grove Tubes, ...).
NO AMP MAKER MAKES TUBES !.
So, a Mesa-Boogie, Marshall, Engl, Koch or any other amp-branded tube is just a relabeled tube, mostly JJs or Sovteks or Chinese ones.
Appart from those current production tubes, there is still some scary expensive NOS (New Old Stock, or tubes made during 60-70s that were sleeping on bins). But be aware, they are also selling tubes already used and found in old electronics equipment.
You can find probably more authorized info in Internet but, if you don't mind, I've got some articles related to this matter:
http://hermeticoguitar.blogspot.com.es/2013/02/amps-tubes-tubes-and-more-tubes-part-1.html
http://hermeticoguitar.blogspot.com.es/2013/02/amps-tubes-tubes-and-tubes-part-2.html
http://hermeticoguitar.blogspot.com.es/2013/02/amps-tubes-tubes-and-more-tubes-part-3.html
http://hermeticoguitar.blogspot.com.es/2013/02/amps-tubes-tubes-and-more-tubes-part-4.html
and something around biasing
http://hermeticoguitar.blogspot.com.es/2013/02/amps-retubing-marshall-1923c-85th_24.html