Can I use an 8 inch (20 cm) plastic pot to grow basil inside as a "houseplant" during the winter?

IÂve read the threads here about overwintering inside & making new plants in the spring from stem cuttings. I have some basil plants that have not flowered yet as they are in partial shade. IÂm planning to take stem cuttings from them to make my new "houseplants" since IÂve read that flowering changes the taste. Or would new plants started from flowered stem cuttings taste like all new plants?

I need the smallest, lightest weight pot possible since I want to put the pots on top of my kitchen cabinets under the skylights. IÂm going to keep the pots outside in the dappled shade to start them, gradually move to sun & bring them inside in the late fall when the temps get down to about 40 degrees F (4 C). I donÂt have space for grow lights & my region has more light, heat & humidity than anyone would ever need.

Is this a good plan? Any & all advice greatly appreciated.