Some people believe that Trey Songz likes R. Kelly because they have been seen together on multiple occasions and have publicly expressed their admiration for each other's music. For example, in 2011, Trey Songz posted a photo of himself with R. Kelly on Instagram and captioned it, "The GOAT himself. #Legend." In 2012, R. Kelly released a remix of his song "Genius" featuring Trey Songz and Juelz Santana.
Other people believe that Trey Songz does not like R. Kelly because of the sexual assault allegations against R. Kelly. In 2019, R. Kelly was arrested on multiple charges of sexual assault and child pornography. In the wake of these charges, many people have expressed their disapproval of R. Kelly's music and have called for him to be boycotted. It is possible that Trey Songz does not want to be associated with R. Kelly because of these allegations.
Ultimately, it is up to each individual to decide whether or not they believe that Trey Songz likes R. Kelly. There is no clear evidence either way.