Yes. Or another account so that you have clear accounting for tax purposes. "This account gets freelance money and this money was spent for home office expenses related to the freelance work which is deductible from that income stream."
Child support obligations come out of one income as a percentage of that income - but not the other. A two income family where the husband is paying 10% of wages to child support for example - its 10% of his $1000 / month that never hits the main account, but her $500 /month is untouched and goes to the shared account. This could be complicated if she was a 1099 worker and needed to keep track of that money separately so that it could have the proper taxes taken out of that and have the resulting "actual money" that is spendable go into the "can be spent" bucket.
While money is fungible, the depiction of money flows when it hits a "one big bucket" makes it so that the value behind the Sankey diagram is lost. Is all the money that your household makes taxed the same way? Do you file jointly or separately? Is there a separate account for isolating certain expenses for reporting purposes?
https://alternativeenergyatunc.wordpress.com/wp-content/uplo... is useful and one will note the lack of a big bucket. Or consider the original one - https://upload.wikimedia.org/wikipedia/commons/1/10/JIE_Sank...
There is information lost when it goes to one big bucket.