a DI profile of a Fender deluxe will only sound like a Fender deluxe if connected to the same cab/speaker (in this case the combo itself)
If you would connect the real Deluxe to a 4x12 V30 cab or similar you would recognize the same "issue"
the twang comes also from speaker and the construction of a fender deluxe.
ok..
lets see .This you tube channel doesn't belong to me, a friend of mine asked me to do him a favour and play a couple of licks though his jvm with a cab loaded with v30 (to compare different pickups).Not the best choice for bluesy and twangy things ....but due to the fact that it's a real tube amp i think the twang is there.So for me the think that you mentioned doesn't exist.I repeat i 'm not the owner of that channel , i am only the guitar player(the video might clipping in some parts).
@Mr Kemper thanks for spending your precious time on a thread like this.In order to answer our questions(worries). yes i have profiled my deluxe amp.Most important is that i profiled only the pre amp and then use the profile of the kemper connected to the return of my deluxe and other ss amp but the twang was gone. I have used many di profiles(including mine) from clean fender amps with previous firmwares and the new one but i couldn't manage to recreate that twangy sound that i 'm in love with.Anyway i don't want to bother the community anymore with my observations anymore since as i can see there are only few members here who share the same opinion with me.(that we lose certain parts from the unique sound.) That is just my humble opinion i might be wrong or my ability of hearing is totally flawed.