I only use warm tone papers and developers and the variations are very substantial.
You need to learn that the colour/warmth of tone are controlled by exposure and development time, also dilution. The more development the colder the tones so for greater warmth you over expose and under develop. To counteract short dev times you can use greater dilution.
Warm tone apers vary enormously, some would give red tones with greater exposure and long development in a dilute warm tone developer. also papers get colder with age, so the fresher the better for warmth.
Choice of developer is crucial Dektol is a cold toned developer and a warm tone developer like ID-78/Ilford Warmtone or Agfa Neutol WA gives very different tyones used properly.