I gather you don't have much technical experience with tubes. You can get a tube data manual and find that any given tubeThat made me chuckle as I began my life as an electronic technician back in the days of tubes. Used to have a tube tester in my garage. I fully understand the principle of suitable substitution.
That being said, I'll admit I don't know much about warranties for tube electronics. It still would surprise me if a manufacturer is obligated to replace a defective unit when the defect was caused by a faulty tube (not supplied by the manufacturer) being placed in the equipment by the new owner. Just an assumption as I haven't read the warranty agreement, I could be wrong.
If the product had a defective tube socket that wasn't apparent until the original tube was removed that's a different issue and Transl was fortunate to discover it. This needs to be discussed with the dealer.