I potted up a load of side shoots and now have another 10 free plants - luckily the season is long enough here to get a crop of them..
It's a brilliant system if like me you've got the space for the extra plants.
A couple of points - firstly - tomatoes are thugs and root pretty quickly, but the big shoots have much less surface in the compost until they grow roots, and they can dry out in that delay - so the bigger the shoot is the more of it should be buried (doesn't have to go in vertically) and it should be given more shade to slow its water loss.
The alternative is to root the bigger ones in water - that gives them the time to make roots. As a rough approx. I'd say any cutting less than 100mm will do better in damp soil, but anything bigger will definitely gain from being in water until the roots are 50mm plus. There's almost no limit to the size of cutting you can grow on in water.
There's no advantage in fertilising the water - it seems to encourage the stems to rot - probably because it goes septic.
I've never noticed any evidence that the water roots don't work in soil - except that the plants do better (recover/convert) in very damp but well drained soil (if they are going into rough garden soil I root them them first in ~100mm pots of good stuff). OTOH they might actually prefer to move straight into a true hydroponic system - which in our case we have not got.
Secondly, I'm now convinced that any cutting will flower and fruit earlier than a seedling the same size. Some fraction of the maturity of the donor plant carries over - they are past the mad growth stage and so you will end up with smaller plants that fruit within a week or two of the donor (depending on the weather).
On a related theme - I try to have decent sized plants in April and coddle them until May. The coddling interval makes the plants leggier than I want them, so this year I'm experimenting with letting the lowest side shoot stay on each - so it will eventually produce fruit alongside the bare stem - that's should be quite soon. Some of them have 3 fruiting side shoots to see if that's better.
I buy Gardeners Delight and Sungold plants as soon as they show up in shops & DIY stores (2 or 3 of each), and use all the side shoots to make more.
I've been impressed by Cocktail Crush - I will buy 2 plants next year as insurance against blight - what a difference from those first efforts (like the disgusting Ferline).
The Green Tiger family have a unique flavour (includes Shimmer and the "Artisan" version) I've been growing them for years - but they turned up in the garden centre in 2021. Sadly not this year so I'll be back to sowing them in January 2023 (also seeds from supermarket Piccolo fruit).
Cheers.