The old logo is still used on both the PS3 and PS4 apps, some two and a half years after the rebrand. I can maybe just about understand why they may be reluctant to rebrand the PS3 app, what with it being a legacy platform now, but I'm gobsmacked that they haven't changed it on PS4.
They ain't gonna change it on PS3 (rather than being reluctant), the console truly died out in 2016 with the dearth of releases. It already tanked in sales straight after PS4 released.
I'd agree with the PS4 app, just a shame that they aren't being consistent with their on-demand branding. But then again, PS4 isn't exactly a media powerhouse.
‘Kept you waiting, huh?’- Solid Snake