The RY is not something I would describe as mellow, but maybe compared to the NB it is, I canīt tell. As I have written in my review, it has a voicing which scream rock like no other I have ever heard.
The combination of wire and magnet and the way it is wounds makes for that certain modern take on a old school sound, allowing to bridge into both directions any time you want (can super easily be steered into either direction by adjusting height too) while always retaining that certain agressive but mostly super alive and rocking mid character having its peak in the upper mids.
For what your friends are doing I think the RY is absolutly the ticket.
I have it set to what I feel is more the metal side and pop punk is all over this things still. I think I could make it the punk pup with 1-1/2 screw turns max.
If you wanne go true vintage the RR seems like the best option, as all vintage BKPs it can go heavy as heck, probably heaviest of all the vintage.
Vintage / modern = RY
Vintage = RR
If you are talking P90s I would say the MQ / Nantucket are actually my front runners by far, again being a bit more classic in essence (like the RY) but delivering all the body and power you should need. Old school if you want it, new school if you want it too, all depending on the rest of your rig and how you set it.
Something like a SM, SH or Pig90 would in my mind be too fat, modern and agressive in that modern way for what I understand as the punk sound. While they can do modern or hardcore punk sounds with ease I feel the MQ / NT are better as they can deliver both.
Plus I personally would always pair the RY with the IT rather than the SH in at least 80% of the cases. The voicing fits much better. Put the SH with a HD or Crawler.
Nailbomb I would guess rather TS and the MM TS or Sinner in most cases.
Oh and on Teles I have no experience, but there seems to be a lot of choice there. The Piledriver is of course cool, it can do metal like an ace after all, but I would deffo also have a look at the Boss and the Blackguards, they both should be more than capable of doing that more old school flavour while having that lovely hidden power / potential.