I don't swan about shopping or having lunch with pals and if I go to a gallery, it's to give my DS an experience or a nice break from routine. I actually pity how narrow and silly your view of SAHMs is. You are also presuming that being a SAHM means being a 1950s-style skivvy whose partner does bugger all and acts like he's The Big I Am because his work provides the money. Total stereotypical bullshit and as insulting to wage-earning fathers as it is to SAHMs. If you bring your child/ren up to only respect patriarchal notions of status, worth and value, then yes, those children might take a dim view of women or SAHMs when they are older, but if you are not a thick, bigoted twat who can do a half-decent job of raising children without filling their heads with antiquated crap, then they probably won't.
Whose kids, including adult ones, are that interested in their parents' jobs anyway?! It's their relationship with them that is meaningful, and, which moulds their personality and how they view people, not what ideas about what constitutes meaningful work.
Bringing my DS is the most exciting, challenging and fulfilling work I have ever done, and I feel privileged to be able to do so. I use all my intelligence, creativity and ingenuity in doing so and I hope he'll value me always being there for him and the magical times we have spent and will spend together over whatever job I will do in the future. My mum (retired) was a WOHM. Her job was and is utterly irrelevant to me in terms of how it shaped my ideas about gender roles and personal worth, and, apart from being glad she enjoyed it and proud she was good at it, had very little impact on my feelings about her. It's the time she spent with me and my siblings that matters. Work just took her away from us. Same for my Dad, too.