The comparison usually refers to behaviours such as following people, responding to routines or occasionally enjoying games like fetch. It is a loose description, not a guide to treating a Maine Coon as a dog. Cats have their own communication, environmental needs and responses to restraint. A sociable cat may still dislike crowded outings, prolonged handling or being walked on a lead. Let the individual show what it enjoys rather than using the comparison to set expectations. Reward-based interaction can be enjoyable when the cat participates willingly, but keep sessions short and offer a way to stop.
At home, combine social opportunities with private resting and hiding spaces. If a cat follows you constantly, look at the context: ordinary companionship is different from a sudden behavioural change, distress or a new need that should be discussed with a professional. For an interactive game, stop while the cat is still interested and leave it free to disengage; participation matters more than completing a trick.
For product comparisons alongside this advice, see Velvet Nest and Sterling Court litter tray. The details below explain their sizes and uses.
Further reading: cats.org.uk; cats.org.uk; cats.org.uk; scottishspca.org.
Velvet Nest
Sterling Court litter tray
Taj-MeowHall