Complete crap. In 2019, Melbourne, North and the Dogs all got 4 home games against the 6 bigger Vic clubs. Saints got 3.Of their 11 home games, most of the the smaller Melbourne clubs will have to put up with one or two home games against bigger victorian clubs, the rest are games against other low drawing clubs or non victorian sides at Docklands.
Bulldogs also got home derbies against North and Melbourne as well as home games against Brisbane and Sydney, clubs with reasonable legacy support in Melbourne. That's 6 derby home games and 2 with significant away support.
Saints got Melbourne and Dogs plus Brisbane.
North got Syd and Brisbane at home and sold North and Melbourne to Tasmania.
Melbourne got Saints and Sydney.
If we compare that to a "looked after club" like yours, in 2019 Carlton got only 2 home games against the other 5 big Vic clubs, played all the small Vic clubs as well as Brisbane and Sydney. So 6 derby games plus Sydney/Brisbane.
So Carlton actually got less home games against the bigger Vic sides than any of the small 4. Interesting huh?