Texts from Suspect in Charlie Kirk Shooting Offer Insight into a Motive
nytimes.com
nytimes.com
We have consensus now that Robinson's roommate was a "romantic partner"; this was clearly not a cisheteronormative relationship; citations from relatives that Robinson's political views had recently moved leftward and specifically oriented around LGBT (and whatever other letters you wish to append) rights; and Robinson saw Kirk as hateful.
The "groyper" narrative appears completely incompatible with the evidence.