That's odd, I had no problem with working from home with toddlers, but I wasn't trying to do two full time jobs, on any given day either I was dedicated to looking after the kids or my partner was.
Looking after a toddler is a full time job.
Kids are "sticky" (once they get into your office for any reason it can be difficult to get them out again).
Number of kids matters, their ages matter, their needs matter, sometimes they "get loose" while carer is busy with one (e.g. putting to sleep), and carers need breaks too.
For my particular situation, I can get noticeably more done on days when all the kids are out, even when someone else is ostensibly caring for them "full time".
We built a garage with an accessory dwelling unit (ADU) that I use for my office. My kids are aged 5-12, and It's great to have some separation. Though now two of the kids have their own computers in the room next to my office, so I've had to teach them that a Minecraft "emergency" doesn't mean they can interrupt me working.