I find working to be easier, a sahm is always on.
A working parent is "always on" too, if they are expected to share childcare and housework equally when they get home from work. And even if they're not, the expectation for many professional jobs is that they're "always on" too, so for some working parents, it's a double whammy.
Personally, I think mat leave is different, a) because looking after a newborn is particularly challenging, b) because your body is still recovering from the birth and c) because you'll need to maintain a fair split when you go to work.
Beyond mat leave, assuming no disabilities/special circumstances etc, I do think the SAHP should do most of the housework because they're home all day anyway and they have more time to do it, and also because I don't think it would be a fair split otherwise. However, I do think that childcare responsibilities should be shared equally in the evenings and at weekends, or perhaps weighted more heavily towards the WOHP, because it's important for both parents to build their relationships with the children.
Personally, I wouldn't be willing to fund my spouse to be a SAHP unless they were willing to take on the vast majority of the housework as part of that remit. If they didn't want that responsibility, I'd prefer for both of us to stay in work, pay for really good quality childcare and share the domestic load between us.