when i lived in zone 9(although pacific north wet zone 9), and because i wanted to see some tomatoes being perennials...i have tried various times to grow tomatoes indoors some.
but i find it's not that worth it...they dont grow during the winter, and even the lack of sunlight hours...well even though you can keep them alive, thats all they do. they survive, but don't thrive.
i suppose it's worth it if you really want to keep a variety, and sometimes people do cuttings or layer them...late in the year you can take cuttings or ground layers of your winner strains...to start them off early for next year.
and i do that, start tomatoes in fall for next year...just to get them really developed for next spring.
the thing i thnk is a better way for tomatoes in january and beyond, is to uproot the WHOLE PLANT. just before winter...when they are starting to turn funky/stop growing for the year/frost...and especially if there's already lots of green tomatoes.
it's a bit messy with a monster huge tomato plant, but carefully, if you dig it up by
roots, get off most dirt/root prune...and then hang it up in a dark/cool spot...they will very very slowly ripen over many months...and you can then...just pick them off as you go...but now in a corner of your house.