Better than most takeaways, homemade in that you've made it at home, but not made from scratch, so not homemade in the sense most people would use that term.
There's nothing wrong with using a jar of sauce occasionally, especially if ill or pressed for time, etc, but it wouldn't be great for your health or pocket to use them on a regular basis.
I don't really find it takes much longer to make it from scratch, but it tastes much better.
I do pre prep some things, though, eg, I peel and chop onions, leeks and garlic and freeze them either sliced or diced, so when I'm in a rush, I can just get them out of the freezer and use immediately.
I also make my own tomato based sauces using fresh or tinned tomatoes, celery, grated carrots, herbs, onions and seasoning, which I then puree and freeze in portions using ziplock bags, which I lay flat in the freezer to freeze (so once frozen they don't take up much room).
I can then use them as a base for many different dishes and can add other spices, cheese and/or veg, if needed, eg, chilli, various pasta sauces, casserole base, etc.
I might spend an afternoon one weekend doing this, but it makes enough for a dozen family meals and means I only need to do it maybe 2-3 times a year.
I do the same with curry paste... so I make my own mild curry paste up, usually enough for 3 or 4 jars of concentrated paste, which will often last 4-6 months as each dish only requires about 2 tbsp of paste.
Again, I can add more spices and other veggies to vary the flavours/style of curry I make.
I also make naan/flatbread and pizza dough in batches and freeze it in portions. It takes less than 10-15 mins from freezer to table as I defrost the dough in the microwave before cooking in a pan/oven.
Edited to add: @Hsundbfhdi I wouldn't beat myself up about it, though, as stress is just as harmful, if not more, and as I said they have their place and I occasionally use them (maybe 3-5 times a year), and as you said, it's definitely better than getting most takeaways.