Hmm - well. I've actually found this interesting. I read through the previous-give list I linked to (the 50). Shows given that are 'families' - with both a mom and a dad:
46. How I Met Your Mother - Never seen it, can't comment on the show with a solid answer but it seems that they're all well respected, successful people, generally speaking - they are all being made fun of at time person individual and lifestyle choices.
44. That ’70s Show - Red is portrayed as a successful business man / father. He's rigid, though. His wife, Kat, is a bit of a scatterbrain but in the end, they're decent people - with a bunch of idiots for kids.
42. Everybody Loves Raymond - They're all made fun of. Even the wife.
39. I Love Lucy - Lucy is often the one made fun of, but so is Ricky, just not as much.
35. Happy Days - Both parents are respectable and responsible. They all get into quirky situations from time to time, but mostly it follows the kids.
30. The Honeymooners - You asked why his self-depreciating humor is funny. Well, that's because it's just funny. The women also get involved in various silly issues. It is a sit-com, after all. without the comedy and a target to be laughing at, it's not a sit com.
28. Diff’rent Strokes - The parents (or step, whatevr may have been the case) were presented as respected mentors.
26. The Wonder Years - Presents both mom and dad as being employed, educated, and respectable. The funniness is aimed at the children.
23. Roseanne - Both parents are presented as being fat dopes with dopey kids.
22. Growing Pains - Both parents were successful and respectable, while everyone were at the center of various funny bits from time to time.
20. The Fresh Prince of Bel Air - Both parents were successful and respectable, while everyone found their selves at the center of various jokes.
19. Family Guy - so far, off this list, this is just the 2nd show that portrays him as being a dope, and her as being the opposite.
18. Modern Family - Both parents seem successful and respectable, while everyone were at the center of various funny bits from time to time.
17. The Jeffersons - This might fit into your questioning roles. George was intelligent and successful at the same time, though. They all just did stupid things. It is a sit-com like all the others.
16. All in the Family - Both were presented as dopes. Somewhat like Roseanne, but with racism.
13. The Simpsons - Same thing as family guy
10. Family Ties - Both were successful and respectable with the occasional situation because of what they did.
6. Married with Children - both were dopes
4. Arrested Development - I'm not sure where this falls. All are successful dopes? LOL
2. The Cosby Show - Both parents were respectable and successful
The only one I can think of that's not on this list is Malcolm in the Middle - both parents are successful dopes.
So - just from this list. There are 21 shows that follow a family and 7 follow, or somewhat follow, your point. (28%). Whereas 7 out of 50 sitcoms = 14% that follow your point.
In all due honesty - that's not very many, especially when you consider the number of those which present both parents, or everyone, as being idiots.
Is this far from reality? Well - no. It's not. A lot of families have the "respectable head of household" and a lot of families have "an idiot for a head of household" . . . just because males aren't presented as ALWAYS being the "rule enforcer, successful at work, and worth looking up to" doesn't mean that there's a problem
Why - on the other hand - do you expect otherwise? Why focus on "head of household being made fun of" and not "the Mom's being made fun of"
Or - more so - why do you look at the dopey parent as being "the head of the household" just because they're male? Did you consider that, in reality, what they're doing is presenting the OTHER one (female whose not the dope) as the head of the household instead?