overwintering Another overwinter question

So, I followed the typical procedure but the only place that gets decent light and is easily heated is around my computer/growlight. That means they are under/close to a t5 and kept at 70 F.
 
This is pretty good normally but I'm not sure if this would mess with the plant in a negative way since it's not really ideal conditions to promote dormancy if I understand correctly?
 
Does this mean I'll need to water it more than the as advertised once a week or so?

Most likely it will continue to grow...monitor and water as needed. Might even have to use a little feed as well at some point.
 
Plants do very well in 70* and T-5's