That would be pretty dumb. The hourglass should not just run out after an hour unless it was intentionally activated. I sure wouldn't want to be Hourman and have to wonder if I'll have superstrength when I need it or if my hourglass basically "butt-dialed" sometime within the past day.
Maybe it was activated by coming into proximity with Tyler DNA for the first time in years. Maybe that "primed" it to Rick, and after that it has to be activated deliberately. Or something.
Of course, the whole "1 hour of super-strength every 24 hours" limitation is pretty dumb to begin with. Any villain could think, "Hourman was just active, so we should be able to commit crimes for the next 23 hours without worrying about him."
It made more sense when he got his powers from pills. It's not unreasonable that a substance that enhanced physical performance would take a toll on the body and you'd need time to recover before you could use it again.
And it's not a unique superhero limitation. The various incarnations of Ultraman can only operate on Earth for 3 minutes at a time, so the hero who summons/transforms into Ultraman can't use the power until the climax of the episode when things are at their most dire. (Although how long "3 minutes" actually is depends on the specific episode, and is sometimes much longer.)
It's a lot easier to cast an actor and teach him or her to fake playing music than to find a musician and teach him to act. Although the fact is that Hina's acting is no great shakes, either. She just seems to have been cast because of Berlanti's and WB's proclivity for casting actors based on attractiveness and diversity. Although that makes me wonder who's going to be the token LGBTQ character, as all Berlanti shows must have.
"Token?" I don't think you're using that word right. A token is a sole member of a group who's included as lip service to inclusion, usually relegated to a background role and defined exclusively by their group identity rather than having a fuller characterization. Most Berlanti shows have multiple major LGBTQ characters who are fully realized with their sexuality as just one facet of who they are.
Arrow had Sara, Nyssa, Curtis and his two successive husbands, and William.
The Flash has Captain Singh, Pied Piper, Nora West-Allen, and her love interest Spencer Young.
Legends has Sara, Ava, Constantine, Gary, Charlie, and various of their romantic interests.
Supergirl has Alex, Maggie, Kelly, Nia, and the female Brainiac-5.
Batwoman has its title character, Sophie, Julia, Reagan, and Parker Torres.
Black Lightning has Anissa Pierce and several of her lovers including Grace Choi and Jamilla Olsen. Outside of DC,
Riverdale has Kevin, Joaquin, Cheryl, Toni, Moose, and really quite a few others.