It’s… It’s so not.

Edit: it is a great series, but it’s as far from a cozy slice-of-life show as you can get without being a seinen battle series. Like, things Planetes has that definitely don’t show up in cozy or SOL:

• Radiation sickness
• Cancer
• Suicide
• Asphyxiation
• Kessler Syndrome
• Multiple terrorist attacks
• Graft
• Constant smoking
• Hijackings
• Frame-ups
• Spaceships as WMDs
• Hachi’s dad

Just to name a few.

Further edit: are you thinking of Space Brothers instead?